Pith Number

pith:NJAYYHNE

pith:2026:NJAYYHNEN7JBRBPCHAQGK4T4DK

not attested not anchored not stored refs pending

Population Structures with Positive Feedback and Asymmetric Division

Brynley Needham, Camden Kilton, Gabriel Dooley, Graham Walther, Todd R. Young

arxiv:2608.03604 v1 · 2026-08-04 · q-bio.CB · math.DS · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJAYYHNEN7JBRBPCHAQGK4T4DK}

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	2026-08-05T01:36:44.800362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0

Aliases

arxiv: 2608.03604 · arxiv_version: 2608.03604v1 · doi: 10.48550/arxiv.2608.03604 · pith_short_12: NJAYYHNEN7JB · pith_short_16: NJAYYHNEN7JBRBPC · pith_short_8: NJAYYHNE

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/NJAYYHNEN7JBRBPCHAQGK4T4DK \
  | 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: 6a418c1da46fd21885e2382065727c1aa41e833a478dd3fe91d19a0d81cb65b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6845882457c6f004bd4684c6e7c5affbe29b201c6b7098cdd3fb8bd298d71840",
    "cross_cats_sorted": [
      "math.DS",
      "q-bio.QM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.CB",
    "submitted_at": "2026-08-04T12:56:54Z",
    "title_canon_sha256": "25983a31f605de6158bc834cca1a6f2675bd752b8a2d1cb44bd113ebbcba2af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03604",
    "kind": "arxiv",
    "version": 1
  }
}