Pith Number

pith:TY6NTP2L

pith:2011:TY6NTP2LSJ5KVYQCBOFY6KWFSB

not attested not anchored not stored refs pending

Nonlinear historical superprocess approximations for population models with past dependence

LPP), Sylvie M\'el\'eard (CMAP), Viet Chi Tran (CMAP

arxiv:1107.2052 v3 · 2011-07-11 · 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{TY6NTP2LSJ5KVYQCBOFY6KWFSB}

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	2026-05-18T03:53:17.582646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3cd9bf4b927aaae2020b8b8f2ac5904135961cd61aa1f0ae9051d5166e68dd

Aliases

arxiv: 1107.2052 · arxiv_version: 1107.2052v3 · doi: 10.48550/arxiv.1107.2052 · pith_short_12: TY6NTP2LSJ5K · pith_short_16: TY6NTP2LSJ5KVYQC · pith_short_8: TY6NTP2L

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/TY6NTP2LSJ5KVYQCBOFY6KWFSB \
  | 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: 9e3cd9bf4b927aaae2020b8b8f2ac5904135961cd61aa1f0ae9051d5166e68dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67cdea5c21c512c31960cf24793f7195fc66959d3a70f77595be3501e72424d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-11T15:14:09Z",
    "title_canon_sha256": "396cd6ad168892c53993166ab5ce854b7d49d3b0589f577cdc3e724a26ddef49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2052",
    "kind": "arxiv",
    "version": 3
  }
}