Pith Number

pith:PJBW3K7T

pith:2014:PJBW3K7TQBWCESSNFI2H54AGWU

not attested not anchored not stored refs pending

Optimal Subharmonic Entrainment

Anatoly Zlotnik, Jr-Shin Li

arxiv:1401.1863 v1 · 2014-01-08 · math.DS · math.OC · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJBW3K7TQBWCESSNFI2H54AGWU}

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	2026-05-18T03:02:56.488345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a436dabf3806c224a4d2a347ef006b51a7d475b4056c80a2f5a0fe71cbae36c

Aliases

arxiv: 1401.1863 · arxiv_version: 1401.1863v1 · doi: 10.48550/arxiv.1401.1863 · pith_short_12: PJBW3K7TQBWC · pith_short_16: PJBW3K7TQBWCESSN · pith_short_8: PJBW3K7T

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/PJBW3K7TQBWCESSNFI2H54AGWU \
  | 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: 7a436dabf3806c224a4d2a347ef006b51a7d475b4056c80a2f5a0fe71cbae36c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db742bff3810996e552e2dcdb6865045a5f8a269cd332af7ff2652ca1a8e0efa",
    "cross_cats_sorted": [
      "math.OC",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-08T23:57:18Z",
    "title_canon_sha256": "3da41bfa4b1d60e405f2dc262aad6583b6cd6f86e2ae28d2ebd31b7155127b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1863",
    "kind": "arxiv",
    "version": 1
  }
}