Pith Number

pith:EDBGXSNB

pith:2023:EDBGXSNBEOAYXGXUEKDIFRHFZG

not attested not anchored not stored refs pending

Primal-Dual Gradient Methods for Searching Network Equilibria in Combined Models with Nested Choice Structure and Capacity Constraints

Alexander Gasnikov, Alexey Kroshnin, Alexey Shurupov, Demyan Yarmoshik, Dmitry Pasechnyuk, Ekaterina Kotliarova, Leonid Baryshev, Meruza Kubentayeva, Mikhail Persiianov, Nazarii Tupitsa, Vladimir Shvetsov

arxiv:2307.00427 v1 · 2023-07-01 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDBGXSNBEOAYXGXUEKDIFRHFZG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:26:56.061253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c26bc9a123818b9af4228682c4e5c982f98bfc9b8390a789c1da2ec009994e

Aliases

arxiv: 2307.00427 · arxiv_version: 2307.00427v1 · doi: 10.48550/arxiv.2307.00427 · pith_short_12: EDBGXSNBEOAY · pith_short_16: EDBGXSNBEOAYXGXU · pith_short_8: EDBGXSNB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EDBGXSNBEOAYXGXUEKDIFRHFZG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 20c26bc9a123818b9af4228682c4e5c982f98bfc9b8390a789c1da2ec009994e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab5022b8949d6f07f5884a97ba8da15b7b7bcde5fb9af146fc91c1dad80472e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-01T21:17:47Z",
    "title_canon_sha256": "3a842e1a932fa0123f44eb2de2431d18f0fd6aa1c681fe3e304e0e02c15cb568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.00427",
    "kind": "arxiv",
    "version": 1
  }
}