Pith Number

pith:VPLL6QLU

pith:2013:VPLL6QLUIXDU6LULMNRUPYAP7C

not attested not anchored not stored refs pending

Spans of special cycles of codimension less than 5

Martin Raum

arxiv:1302.1451 v2 · 2013-02-06 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPLL6QLUIXDU6LULMNRUPYAP7C}

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	2026-05-18T03:29:06.309671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd6bf417445c74f2e8b636347e00ff8a666a3b7b82e1f439d49e2505f24c634

Aliases

arxiv: 1302.1451 · arxiv_version: 1302.1451v2 · doi: 10.48550/arxiv.1302.1451 · pith_short_12: VPLL6QLUIXDU · pith_short_16: VPLL6QLUIXDU6LUL · pith_short_8: VPLL6QLU

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/VPLL6QLUIXDU6LULMNRUPYAP7C \
  | 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: abd6bf417445c74f2e8b636347e00ff8a666a3b7b82e1f439d49e2505f24c634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a6cd83e2a0c6587297b37fb82c6c00286af07c4dc3533de93fbe4c3db34522",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-06T17:48:39Z",
    "title_canon_sha256": "792c5ce9c0d217e5bb8a17de26a53be9ad60184bbe811f664c1a6b91db9f41e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1451",
    "kind": "arxiv",
    "version": 2
  }
}