Pith Number

pith:CWLA6LRL

pith:2025:CWLA6LRLBUG4OD46HMX7UDHXYH

not attested not anchored not stored refs pending

Topological decoding of grid cell activity via path lifting to covering spaces

Iris H.R. Yoon, Yuxing Jared Yao

arxiv:2510.16216 v2 · 2025-10-17 · q-bio.NC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWLA6LRLBUG4OD46HMX7UDHXYH}

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	2026-07-10T00:18:42.009789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15960f2e2b0d0dc70f9e3b2ffa0cf7c1d8f1cab5f124a3bbac7013ba9e11e4a0

Aliases

arxiv: 2510.16216 · arxiv_version: 2510.16216v2 · doi: 10.48550/arxiv.2510.16216 · pith_short_12: CWLA6LRLBUG4 · pith_short_16: CWLA6LRLBUG4OD46 · pith_short_8: CWLA6LRL

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/CWLA6LRLBUG4OD46HMX7UDHXYH \
  | 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: 15960f2e2b0d0dc70f9e3b2ffa0cf7c1d8f1cab5f124a3bbac7013ba9e11e4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8342f765c5f91d37706a8dbb3d4794c816542526f8e866f8007bfb545bc95b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2025-10-17T21:02:28Z",
    "title_canon_sha256": "3a8dcc9029738d0d85687b908d7d49cba86e9547802e8ef9369ceba584c531ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16216",
    "kind": "arxiv",
    "version": 2
  }
}