Pith Number

pith:HNTKTMQW

pith:2010:HNTKTMQWXJA5P2GPPPF4YJUPF5

not attested not anchored not stored refs pending

Bounding the Equilibrium Distribution of Markov Population Models

David Spieler, Holger Hermanns, Tugrul Dayar, Verena Wolf

arxiv:1007.3130 v1 · 2010-07-19 · math.PR · cs.NA · math.NA · q-bio.QM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNTKTMQWXJA5P2GPPPF4YJUPF5}

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	2026-06-03T23:06:39.434518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b66a9b216ba41d7e8cf7bcbcc268f2f7993e2fb8bfad892f48f5c64f30f30b2

Aliases

arxiv: 1007.3130 · arxiv_version: 1007.3130v1 · doi: 10.48550/arxiv.1007.3130 · pith_short_12: HNTKTMQWXJA5 · pith_short_16: HNTKTMQWXJA5P2GP · pith_short_8: HNTKTMQW

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/HNTKTMQWXJA5P2GPPPF4YJUPF5 \
  | 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: 3b66a9b216ba41d7e8cf7bcbcc268f2f7993e2fb8bfad892f48f5c64f30f30b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adbb64972ce0787e6058606ebb753419fb2dca20c82413ed49fe56e3f2c3f32e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-19T12:13:10Z",
    "title_canon_sha256": "2681679d0c3b53385646daecc76255a651664fdd1242b2ebb08e139306968134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3130",
    "kind": "arxiv",
    "version": 1
  }
}