Pith Number

pith:VZND7XTN

pith:2013:VZND7XTN3XQA5HVG4WCIR24JNT

not attested not anchored not stored refs pending

Convergence to the Tracy-Widom distribution for longest paths in a directed random graph

Katja Trinajsti\'c, Takis Konstantopoulos

arxiv:1303.6237 v2 · 2013-03-25 · 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{VZND7XTN3XQA5HVG4WCIR24JNT}

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	2026-05-18T03:15:18.258213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5a3fde6ddde00e9ea6e58488eb896cd82f17a46a8bbe3f0222ea2ce68d1557

Aliases

arxiv: 1303.6237 · arxiv_version: 1303.6237v2 · doi: 10.48550/arxiv.1303.6237 · pith_short_12: VZND7XTN3XQA · pith_short_16: VZND7XTN3XQA5HVG · pith_short_8: VZND7XTN

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/VZND7XTN3XQA5HVG4WCIR24JNT \
  | 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: ae5a3fde6ddde00e9ea6e58488eb896cd82f17a46a8bbe3f0222ea2ce68d1557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f32dcda2f1c7d7488be703dc4d1958a8240811671c519c34628ef7a67a8609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-25T18:14:13Z",
    "title_canon_sha256": "d6ae301f2e3767cb20ee01f4f91d8752fe065b959d61908bac1d40af52319527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6237",
    "kind": "arxiv",
    "version": 2
  }
}