Pith Number

pith:O7WUNDF7

pith:2010:O7WUNDF7ZRGFVN4U3BQLKEXN4J

not attested not anchored not stored refs pending

Asymptotic Traffic Flow in a Hyperbolic Network: Definition and Properties of the Core

Gabriel H. Tucci, Yuliy Baryshnikov

arxiv:1010.3304 v2 · 2010-10-16 · math.GR · cond-mat.stat-mech · cs.NI · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7WUNDF7ZRGFVN4U3BQLKEXN4J}

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	2026-05-18T04:00:38.141267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ed468cbfcc4c5ab794d860b512ede240f58cacf7858c2f51ff13b0e3ecfc9f

Aliases

arxiv: 1010.3304 · arxiv_version: 1010.3304v2 · doi: 10.48550/arxiv.1010.3304 · pith_short_12: O7WUNDF7ZRGF · pith_short_16: O7WUNDF7ZRGFVN4U · pith_short_8: O7WUNDF7

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/O7WUNDF7ZRGFVN4U3BQLKEXN4J \
  | 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: 77ed468cbfcc4c5ab794d860b512ede240f58cacf7858c2f51ff13b0e3ecfc9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2761e56c47dce4521591126735203918e542cbe2a68ec6426fd04744232abbfd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.NI",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-16T02:06:28Z",
    "title_canon_sha256": "11314189c3f396d8054ea19d34a5ffa4a85f1e2349737e48fedf2cf1437aa9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3304",
    "kind": "arxiv",
    "version": 2
  }
}