Pith Number

pith:L3YZYCRY

pith:2013:L3YZYCRYAUGQBLZOVT4ERWVBRY

not attested not anchored not stored refs pending

On Gumbel limit for the length of reactive paths

Yuri Bakhtin

arxiv:1312.1939 v1 · 2013-12-06 · 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{L3YZYCRYAUGQBLZOVT4ERWVBRY}

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	2026-05-18T03:05:19.381125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef19c0a38050d00af2eacf848daa18e2e66b735bc0779839f2e2833aed4b674

Aliases

arxiv: 1312.1939 · arxiv_version: 1312.1939v1 · doi: 10.48550/arxiv.1312.1939 · pith_short_12: L3YZYCRYAUGQ · pith_short_16: L3YZYCRYAUGQBLZO · pith_short_8: L3YZYCRY

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/L3YZYCRYAUGQBLZOVT4ERWVBRY \
  | 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: 5ef19c0a38050d00af2eacf848daa18e2e66b735bc0779839f2e2833aed4b674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35aaa697c5db311fecd633dff807a0206bec37922192263e05695c6ea1fcbc43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-06T17:35:39Z",
    "title_canon_sha256": "293491adb60542334c8c9e695924274d4fc0c95c3994cf723d9698e1c4ea79d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1939",
    "kind": "arxiv",
    "version": 1
  }
}