Pith Number

pith:54PNUUBN

pith:2020:54PNUUBNPTPOH7Y7AH3EUQJNB4

not attested not anchored not stored refs pending

Finding equilibrium in two-stage traffic assignment model

Alexander Gasnikov, Demyan Yarmoshik, Ekaterina Kotliarova, Evgenia Gasnikova

arxiv:2012.04516 v2 · 2020-12-08 · 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{54PNUUBNPTPOH7Y7AH3EUQJNB4}

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	2026-07-05T02:02:57.353741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1eda502d7cdee3ff1f01f64a412d0f2fb594605129d25b85a033d447f387a8

Aliases

arxiv: 2012.04516 · arxiv_version: 2012.04516v2 · doi: 10.48550/arxiv.2012.04516 · pith_short_12: 54PNUUBNPTPO · pith_short_16: 54PNUUBNPTPOH7Y7 · pith_short_8: 54PNUUBN

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/54PNUUBNPTPOH7Y7AH3EUQJNB4 \
  | 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: ef1eda502d7cdee3ff1f01f64a412d0f2fb594605129d25b85a033d447f387a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a2c37d063551091c1704c1639c4d556395092935c0fbe4153519e7c3347996",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-08T16:05:45Z",
    "title_canon_sha256": "eee91cb3d21583c802e9b3a2b480a4de2473110c0d292620118b4c43115a100b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04516",
    "kind": "arxiv",
    "version": 2
  }
}