Pith Number

pith:HJQYPNES

pith:2016:HJQYPNESPVVSWTJ74LZIDZCY3N

not attested not anchored not stored refs pending

Equilibria for an aggregation model with two species

Joep H.M. Evers, Razvan C. Fetecau, Theodore Kolokolnikov

arxiv:1612.08074 v1 · 2016-12-23 · 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{HJQYPNESPVVSWTJ74LZIDZCY3N}

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	2026-05-18T00:54:04.981534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6187b4927d6b2b4d3fe2f281e458db64113c61d6843ad53a87c1e2046093ef

Aliases

arxiv: 1612.08074 · arxiv_version: 1612.08074v1 · doi: 10.48550/arxiv.1612.08074 · pith_short_12: HJQYPNESPVVS · pith_short_16: HJQYPNESPVVSWTJ7 · pith_short_8: HJQYPNES

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/HJQYPNESPVVSWTJ74LZIDZCY3N \
  | 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: 3a6187b4927d6b2b4d3fe2f281e458db64113c61d6843ad53a87c1e2046093ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701dd1116629ea17d2ae2a48be5032027331e4ecea60ef7c943fb6f73c03575a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-23T20:02:38Z",
    "title_canon_sha256": "1bf39972388d73c2ea7fbd382382c70d723e56c5132313fa4fa3c1b23a42815c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08074",
    "kind": "arxiv",
    "version": 1
  }
}