Pith Number

pith:DRFY6PXM

pith:2018:DRFY6PXMNZDWTBMFJ4W3IUAZL7

not attested not anchored not stored refs pending

A Hamilton-Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations

Sepideh Mirrahimi (IMT), Sylvain Gandon (CEFE)

arxiv:1805.09688 v1 · 2018-05-23 · 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{DRFY6PXMNZDWTBMFJ4W3IUAZL7}

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	2026-05-18T00:15:03.125016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4b8f3eec6e476985854f2db450195fc9d0d0d8075c67a633fe3c0548883ec9

Aliases

arxiv: 1805.09688 · arxiv_version: 1805.09688v1 · doi: 10.48550/arxiv.1805.09688 · pith_short_12: DRFY6PXMNZDW · pith_short_16: DRFY6PXMNZDWTBMF · pith_short_8: DRFY6PXM

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/DRFY6PXMNZDWTBMFJ4W3IUAZL7 \
  | 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: 1c4b8f3eec6e476985854f2db450195fc9d0d0d8075c67a633fe3c0548883ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a8b5988a14d67a70ec6846bdd2d9e02c94e2b45c78406fca2a6b1547f39d79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-23T13:27:08Z",
    "title_canon_sha256": "3a3af98c227cdfab1bf1dd809bb5bc903a7390b9c1459b9bdc0deeb5d25106e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09688",
    "kind": "arxiv",
    "version": 1
  }
}