Pith Number

pith:XYDGVNI4

pith:2013:XYDGVNI43LXTPA2RPSHV2FQ4ZA

not attested not anchored not stored refs pending

The Sense of Place: Grid Cells in the Brain and the Transcendental Number e

2) ((1) University of Pennsylvania, (2) \'Ecole Normale Sup\'erieure, 3), (3) Princeton University), Jason Prentice (1, Vijay Balasubramanian (1, Xue-Xin Wei (1)

arxiv:1304.0031 v1 · 2013-03-29 · 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{XYDGVNI43LXTPA2RPSHV2FQ4ZA}

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	2026-05-18T00:16:15.054158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be066ab51cdaef3783517c8f5d161cc819ad65e4294d3eaa689b27bfeaf6cd81

Aliases

arxiv: 1304.0031 · arxiv_version: 1304.0031v1 · doi: 10.48550/arxiv.1304.0031 · pith_short_12: XYDGVNI43LXT · pith_short_16: XYDGVNI43LXTPA2R · pith_short_8: XYDGVNI4

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/XYDGVNI43LXTPA2RPSHV2FQ4ZA \
  | 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: be066ab51cdaef3783517c8f5d161cc819ad65e4294d3eaa689b27bfeaf6cd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d6b97b9d4f60a4eb04f47d69cadb9eecee9a0037561b78f319dc82d12afd74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2013-03-29T21:40:45Z",
    "title_canon_sha256": "c4a4900a1b9f2d612782bd15b6ab1778955d999db8b7aa9a87708341541366fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0031",
    "kind": "arxiv",
    "version": 1
  }
}