Pith Number

pith:KNBNOAXY

pith:2007:KNBNOAXYKL6UIDNPC2S6NQLD6F

not attested not anchored not stored refs pending

Poincare duality and Periodicity

John R. Klein, William Richter

arxiv:0707.1353 v4 · 2007-07-10 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNBNOAXYKL6UIDNPC2S6NQLD6F}

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	2026-05-18T02:41:51.981107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5342d702f852fd440daf16a5e6c163f17eca76acd37caa129a43f26a13011610

Aliases

arxiv: 0707.1353 · arxiv_version: 0707.1353v4 · doi: 10.48550/arxiv.0707.1353 · pith_short_12: KNBNOAXYKL6U · pith_short_16: KNBNOAXYKL6UIDNP · pith_short_8: KNBNOAXY

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/KNBNOAXYKL6UIDNPC2S6NQLD6F \
  | 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: 5342d702f852fd440daf16a5e6c163f17eca76acd37caa129a43f26a13011610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63932161bfdf36e26b42d0cd2873de2ff9cc5085767485e85bc957f65b9a18f3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-10T00:40:35Z",
    "title_canon_sha256": "22e614e904a2e023f3ce724e32ee1ea96648146d94a28f37ddced96725ae5e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1353",
    "kind": "arxiv",
    "version": 4
  }
}