Pith Number

pith:QLIP3UO4

pith:2013:QLIP3UO4Y6K3TRZDTRKPGXMUQS

not attested not anchored not stored refs pending

Cycle theory of relative correspondences

Masaki Hanamura

arxiv:1401.0141 v1 · 2013-12-31 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLIP3UO4Y6K3TRZDTRKPGXMUQS}

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	2026-05-18T03:03:30.917845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d0fdd1dcc795b9c7239c54f35d948486909e872f6f8ffd379674015f1baead

Aliases

arxiv: 1401.0141 · arxiv_version: 1401.0141v1 · doi: 10.48550/arxiv.1401.0141 · pith_short_12: QLIP3UO4Y6K3 · pith_short_16: QLIP3UO4Y6K3TRZD · pith_short_8: QLIP3UO4

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/QLIP3UO4Y6K3TRZDTRKPGXMUQS \
  | 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: 82d0fdd1dcc795b9c7239c54f35d948486909e872f6f8ffd379674015f1baead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18b3b91eeda73f4d32a2ec11eeb13bb07f6ca10d45adb78e8eecd81128a6dfc",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-31T13:20:38Z",
    "title_canon_sha256": "9ff4ef2173b41e288ee1ecd6adb158a569a89e109068c9ab9ffb8c3b0cdd6d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0141",
    "kind": "arxiv",
    "version": 1
  }
}