Pith Number

pith:IQ5BDEUB

pith:2025:IQ5BDEUBHCLFOABACRI3BJHIXV

not attested not anchored not stored refs pending

The Principle of Isomorphism: A Theory of Population Activity in Grid Cells and Beyond

Bailu Si, Fei Song, Maoshen Xu, Shanshan Qin

arxiv:2510.02853 v3 · 2025-10-03 · 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{IQ5BDEUBHCLFOABACRI3BJHIXV}

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	2026-06-23T02:13:17.362545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443a11928138965700201451b0a4e8bd48442021c1cea7d001819e0c16cb9abd

Aliases

arxiv: 2510.02853 · arxiv_version: 2510.02853v3 · doi: 10.48550/arxiv.2510.02853 · pith_short_12: IQ5BDEUBHCLF · pith_short_16: IQ5BDEUBHCLFOABA · pith_short_8: IQ5BDEUB

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/IQ5BDEUBHCLFOABACRI3BJHIXV \
  | 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: 443a11928138965700201451b0a4e8bd48442021c1cea7d001819e0c16cb9abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc94db7f286bad1c28557cf55292b0103cb9b1a220c195b0f2f35ccf25bbd67",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2025-10-03T09:42:32Z",
    "title_canon_sha256": "24f25b063e3dbd4ae3278954388bfc3ec49beea7235cadb2219fa10f06583d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02853",
    "kind": "arxiv",
    "version": 3
  }
}