Pith Number

pith:QPZYLJVW

pith:2012:QPZYLJVW6Q7QFU2JOQXSRP7VJI

not attested not anchored not stored refs pending

Duality and small functors

Boris Chorny, Georg Biedermann

arxiv:1210.0723 v5 · 2012-10-02 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPZYLJVW6Q7QFU2JOQXSRP7VJI}

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	2026-05-18T01:26:11.234646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f385a6b6f43f02d349742f28bff54a2c571d9bef9ddf87b772a0d64edb01d9

Aliases

arxiv: 1210.0723 · arxiv_version: 1210.0723v5 · doi: 10.48550/arxiv.1210.0723 · pith_short_12: QPZYLJVW6Q7Q · pith_short_16: QPZYLJVW6Q7QFU2J · pith_short_8: QPZYLJVW

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/QPZYLJVW6Q7QFU2JOQXSRP7VJI \
  | 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: 83f385a6b6f43f02d349742f28bff54a2c571d9bef9ddf87b772a0d64edb01d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba5d5686c69f8bf2d89637a683a2b5cdc9bfdf1d6ecdb4cd87f1d2422d7d07e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-02T10:11:05Z",
    "title_canon_sha256": "7bf1b022991523e6bb4977c5c87c43be74662a02ad56a2010256a4891af5e5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0723",
    "kind": "arxiv",
    "version": 5
  }
}