Pith Number

pith:U57S44DC

pith:2013:U57S44DCGHDC3TVVWBANJHYQXH

not attested not anchored not stored refs pending

A fixed-point approximation for a routing model in equilibrium

Graham Brightwell, Malwina Luczak

arxiv:1306.5002 v1 · 2013-06-20 · 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{U57S44DCGHDC3TVVWBANJHYQXH}

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	2026-05-18T03:20:19.996129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77f2e706231c62dceb5b040d49f10b9def4de05b5bdff30cadf69e7afc9eb56

Aliases

arxiv: 1306.5002 · arxiv_version: 1306.5002v1 · doi: 10.48550/arxiv.1306.5002 · pith_short_12: U57S44DCGHDC · pith_short_16: U57S44DCGHDC3TVV · pith_short_8: U57S44DC

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/U57S44DCGHDC3TVVWBANJHYQXH \
  | 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: a77f2e706231c62dceb5b040d49f10b9def4de05b5bdff30cadf69e7afc9eb56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103a837b8067d3b45142bfe282ac048023adb4d61121532e9afe8dd640cad826",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-20T21:03:29Z",
    "title_canon_sha256": "cc99da675fe5b17fbb623ccb1722d4fe017f8decf24618f1055cff01f60210e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5002",
    "kind": "arxiv",
    "version": 1
  }
}