Pith Number

pith:N7GZGMP4

pith:2011:N7GZGMP4PBGTE43HTLA7X7WAAL

not attested not anchored not stored refs pending

About new dynamical interpretations of entropic model of correspondence matrix calculation and Nash-Wardrop's equilibrium in Beckmann's traffic flow distribution model

Evgenia Gasnikova, Tigran Nagapetyan

arxiv:1112.1628 v3 · 2011-12-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7GZGMP4PBGTE43HTLA7X7WAAL}

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	2026-05-18T04:05:46.773284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcd9331fc784d3273679ac1fbfec002e8571dcd2a7eade3e00b2a8912a55bb4

Aliases

arxiv: 1112.1628 · arxiv_version: 1112.1628v3 · doi: 10.48550/arxiv.1112.1628 · pith_short_12: N7GZGMP4PBGT · pith_short_16: N7GZGMP4PBGTE43H · pith_short_8: N7GZGMP4

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/N7GZGMP4PBGTE43HTLA7X7WAAL \
  | 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: 6fcd9331fc784d3273679ac1fbfec002e8571dcd2a7eade3e00b2a8912a55bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13f3042a91f3b7e9eda65874e5293e3aac059b532c002f32b1ef43609b91423",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-07T17:06:14Z",
    "title_canon_sha256": "6d9ad4ff6d7c6ff3600ae50ec1308726f7377a260bef133f8683ed6fa1efc07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1628",
    "kind": "arxiv",
    "version": 3
  }
}