Pith Number

pith:IG7I6AMU

pith:2015:IG7I6AMU7VAUVXWY5VQKMNBWXO

not attested not anchored not stored refs pending

Efficient calculation of stochastic equilibriums in the Beckmann's and stable dynamic models

Alexander Gasnikov, Anastasia Lagunovskaya, Egor Ershov, Evgenia Gasnikova, Pavel Dvurechensky

arxiv:1505.07492 v10 · 2015-05-27 · 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{IG7I6AMU7VAUVXWY5VQKMNBWXO}

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	2026-05-18T01:15:58.573038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41be8f0194fd414aded8ed60a63436bba4a1fa1a79b53c079cf7b91334b5b901

Aliases

arxiv: 1505.07492 · arxiv_version: 1505.07492v10 · doi: 10.48550/arxiv.1505.07492 · pith_short_12: IG7I6AMU7VAU · pith_short_16: IG7I6AMU7VAUVXWY · pith_short_8: IG7I6AMU

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/IG7I6AMU7VAUVXWY5VQKMNBWXO \
  | 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: 41be8f0194fd414aded8ed60a63436bba4a1fa1a79b53c079cf7b91334b5b901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cfd95dc357bf8453b5a1c86187a1395cd401a8d0d138e6f445d382bda25a0da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-27T21:11:15Z",
    "title_canon_sha256": "e31a65a20a0de914c1bfd92370213e81f093765fe7d16a71fae312a7f52a65ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07492",
    "kind": "arxiv",
    "version": 10
  }
}