Pith Number

pith:XR6M3YND

pith:2014:XR6M3YNDMWNHAWBHUPQSIQREQP

not attested not anchored not stored refs pending

Bott periodicity in the Hit Problem

Shaun V. Ault

arxiv:1406.7734 v2 · 2014-06-30 · 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{XR6M3YNDMWNHAWBHUPQSIQREQP}

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	2026-05-18T02:48:09.046661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7ccde1a3659a705827a3e124422483eb8e0712f2f2dd6770b5fc7b2bf172ab

Aliases

arxiv: 1406.7734 · arxiv_version: 1406.7734v2 · doi: 10.48550/arxiv.1406.7734 · pith_short_12: XR6M3YNDMWNH · pith_short_16: XR6M3YNDMWNHAWBH · pith_short_8: XR6M3YND

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/XR6M3YNDMWNHAWBHUPQSIQREQP \
  | 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: bc7ccde1a3659a705827a3e124422483eb8e0712f2f2dd6770b5fc7b2bf172ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd7abdb083694e8bb9dd8f0a7faf0071f2eea20541bb7b4b7a2dc20b963dd37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-06-30T13:44:49Z",
    "title_canon_sha256": "abe5df3b5daee80f2a3654bf1a1a5066a6a890b1150452a9411cd7b976685ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7734",
    "kind": "arxiv",
    "version": 2
  }
}