Pith Number

pith:WXCFDIPW

pith:2016:WXCFDIPWL2ODH7IVGUY6QPQS37

not attested not anchored not stored refs pending

Branching diffusion with interactions

Janos Englander, Liang Zhang

arxiv:1610.02088 v1 · 2016-10-06 · 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{WXCFDIPWL2ODH7IVGUY6QPQS37}

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	2026-05-18T01:02:58.435754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c451a1f65e9c33fd153531e83e12dfc4d2e93fb8e003ba18a2e48be3247c45

Aliases

arxiv: 1610.02088 · arxiv_version: 1610.02088v1 · doi: 10.48550/arxiv.1610.02088 · pith_short_12: WXCFDIPWL2OD · pith_short_16: WXCFDIPWL2ODH7IV · pith_short_8: WXCFDIPW

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/WXCFDIPWL2ODH7IVGUY6QPQS37 \
  | 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: b5c451a1f65e9c33fd153531e83e12dfc4d2e93fb8e003ba18a2e48be3247c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa66495795a19a06fb3df93f496cefcf22dfce03888602ec337a2606fdb5f87d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-06T22:22:48Z",
    "title_canon_sha256": "2b6bc921de7869a0877f86cec04a1f835eedc4609300a256179845e8253f4b2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02088",
    "kind": "arxiv",
    "version": 1
  }
}