Pith Number

pith:3KFJLGEU

pith:2013:3KFJLGEUSRC3P5ONQWSPWO6C5P

not attested not anchored not stored refs pending

A Hamilton-Jacobi approach for a model of population structured by space and trait

Emeric Bouin (UMPA-ENSL), Sepideh Mirrahimi (IMT)

arxiv:1307.8332 v1 · 2013-07-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KFJLGEUSRC3P5ONQWSPWO6C5P}

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	2026-05-18T03:17:01.525404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8a9598949445b7f5cd85a4fb3bc2ebf4ca258c4ad2b027e453ccc56c892186

Aliases

arxiv: 1307.8332 · arxiv_version: 1307.8332v1 · doi: 10.48550/arxiv.1307.8332 · pith_short_12: 3KFJLGEUSRC3 · pith_short_16: 3KFJLGEUSRC3P5ON · pith_short_8: 3KFJLGEU

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/3KFJLGEUSRC3P5ONQWSPWO6C5P \
  | 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: da8a9598949445b7f5cd85a4fb3bc2ebf4ca258c4ad2b027e453ccc56c892186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af455c646412da2051f8c3db9e2b54d6663d53d03a00b9a1724cc6fa2f9c3c56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-31T14:35:10Z",
    "title_canon_sha256": "1b7dd1d4fda31b9d162f98fe17f978d77cbd35fb03d71d5b2316775af502c50d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8332",
    "kind": "arxiv",
    "version": 1
  }
}