Pith Number

pith:HKVXHHMQ

pith:2012:HKVXHHMQNVVL5UHEDGHUH4UKSH

not attested not anchored not stored refs pending

Daphnias: from the individual based model to the large population equation

J. A. J. Metz, LPP), Viet Chi Tran (CMAP

arxiv:1205.4919 v1 · 2012-05-22 · 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{HKVXHHMQNVVL5UHEDGHUH4UKSH}

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	2026-05-18T03:33:14.132397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aab739d906d6abed0e4198f43f28a91ed02ce4d1ddc3720a032442f77ddc99c

Aliases

arxiv: 1205.4919 · arxiv_version: 1205.4919v1 · doi: 10.48550/arxiv.1205.4919 · pith_short_12: HKVXHHMQNVVL · pith_short_16: HKVXHHMQNVVL5UHE · pith_short_8: HKVXHHMQ

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/HKVXHHMQNVVL5UHEDGHUH4UKSH \
  | 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: 3aab739d906d6abed0e4198f43f28a91ed02ce4d1ddc3720a032442f77ddc99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25882ac87ae7de1145a805b626ffa26d6e95f9e5d631993c8401d7502fb9a36c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-22T13:55:17Z",
    "title_canon_sha256": "82d1784ff4b8f1ff6ed3981b038f9e16704ed9ae3baf3375d2890d6cefae0640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4919",
    "kind": "arxiv",
    "version": 1
  }
}