Pith Number

pith:VVOXHXWH

pith:2016:VVOXHXWHVZLX52XMIQETKBIOGM

not attested not anchored not stored refs pending

A Hamilton-Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments

Sepideh Mirrahimi (IMT)

arxiv:1612.06193 v1 · 2016-12-19 · 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{VVOXHXWHVZLX52XMIQETKBIOGM}

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	2026-05-18T00:54:42.924587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5d73dec7ae577eeaec440935050e331dbe3dd9cf9f357e581e93f7d0df8888

Aliases

arxiv: 1612.06193 · arxiv_version: 1612.06193v1 · doi: 10.48550/arxiv.1612.06193 · pith_short_12: VVOXHXWHVZLX · pith_short_16: VVOXHXWHVZLX52XM · pith_short_8: VVOXHXWH

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/VVOXHXWHVZLX52XMIQETKBIOGM \
  | 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: ad5d73dec7ae577eeaec440935050e331dbe3dd9cf9f357e581e93f7d0df8888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47608a395472452a5dd53c9f153e3d0c5832a6a17d120851aafaf8ac0c68aae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-19T14:23:29Z",
    "title_canon_sha256": "98e695e48f2df323ce2bca9e7fbb5f4ef221985acfe8f1b5ef907c8a92381542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06193",
    "kind": "arxiv",
    "version": 1
  }
}