Pith Number

pith:4W7XFVIS

pith:2015:4W7XFVIS6M54LK65RMINBHW7YC

not attested not anchored not stored refs pending

Toric Codes and Finite Geometries

John B. Little

arxiv:1504.07494 v2 · 2015-04-28 · cs.IT · math.AG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4W7XFVIS6M54LK65RMINBHW7YC}

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	2026-05-18T00:49:25.271220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bf72d512f33bc5abdd8b10d09edfc0b8c1000e53060188eee0a79f6dc4ee14

Aliases

arxiv: 1504.07494 · arxiv_version: 1504.07494v2 · doi: 10.48550/arxiv.1504.07494 · pith_short_12: 4W7XFVIS6M54 · pith_short_16: 4W7XFVIS6M54LK65 · pith_short_8: 4W7XFVIS

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/4W7XFVIS6M54LK65RMINBHW7YC \
  | 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: e5bf72d512f33bc5abdd8b10d09edfc0b8c1000e53060188eee0a79f6dc4ee14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155c342180418f1066f081424d6b22c74c951a7c1c050d49d1d98b15fd8a1d21",
    "cross_cats_sorted": [
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-04-28T14:23:45Z",
    "title_canon_sha256": "41619b6f0859701e1e3e513b1cdac1c1ded99d469a54c4f9a88f5daeefea19a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07494",
    "kind": "arxiv",
    "version": 2
  }
}