Pith Number

pith:PCRFYSNC

pith:2013:PCRFYSNCUVOKCN5CFDSAHIMVIV

not attested not anchored not stored refs pending

Local limits of conditioned Galton-Watson trees II: the condensation case

Jean-Francois Delmas (CERMICS), Romain Abraham (MAPMO)

arxiv:1311.6683 v1 · 2013-11-26 · 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{PCRFYSNCUVOKCN5CFDSAHIMVIV}

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	2026-05-18T02:48:46.587532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a25c49a2a55ca137a228e403a1954558a554adc95bd8406ec695f8ed94565f

Aliases

arxiv: 1311.6683 · arxiv_version: 1311.6683v1 · doi: 10.48550/arxiv.1311.6683 · pith_short_12: PCRFYSNCUVOK · pith_short_16: PCRFYSNCUVOKCN5C · pith_short_8: PCRFYSNC

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/PCRFYSNCUVOKCN5CFDSAHIMVIV \
  | 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: 78a25c49a2a55ca137a228e403a1954558a554adc95bd8406ec695f8ed94565f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50d4913b2b6cc6664e9a95b14cd68c70ed3a79b1bac592dc410474aa2e8ed8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-26T14:27:39Z",
    "title_canon_sha256": "53790c06ba679e0836d3a3631960e533a9b0f6adf56bb3d5689a8d7a5039f0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6683",
    "kind": "arxiv",
    "version": 1
  }
}