Pith Number

pith:3Q7HSEQF

pith:2016:3Q7HSEQFS2CGYTKF46EB7HJYSW

not attested not anchored not stored refs pending

A phase transition in excursions from infinity of the "fast" fragmentation-coalescence process

Andreas E. Kyprianou, Jason Schweinsberg, Steven Pagett, Tim Rogers

arxiv:1602.05241 v2 · 2016-02-16 · 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{3Q7HSEQFS2CGYTKF46EB7HJYSW}

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	2026-05-18T00:52:44.371727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3e79120596846c4d45e7881f9d3895bb764b06e5bd9dd0050a5504b7476020

Aliases

arxiv: 1602.05241 · arxiv_version: 1602.05241v2 · doi: 10.48550/arxiv.1602.05241 · pith_short_12: 3Q7HSEQFS2CG · pith_short_16: 3Q7HSEQFS2CGYTKF · pith_short_8: 3Q7HSEQF

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/3Q7HSEQFS2CGYTKF46EB7HJYSW \
  | 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: dc3e79120596846c4d45e7881f9d3895bb764b06e5bd9dd0050a5504b7476020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3298f378cdfd21691b357dcfdc4e803a5df77ccb3aa99b84140f9ec830fd192b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-16T23:25:26Z",
    "title_canon_sha256": "0f587b268005b62d40946585bf5c8ebed5dea2d2642465322d304febd23949c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05241",
    "kind": "arxiv",
    "version": 2
  }
}