Pith Number

pith:DDKRPHJL

pith:2008:DDKRPHJLCRGM5WBYDEZZ3OSYV4

not attested not anchored not stored refs pending

Oriented bivariant theories, I

Shoji Yokura

arxiv:0811.2261 v1 · 2008-11-14 · math.AG · 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{DDKRPHJLCRGM5WBYDEZZ3OSYV4}

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	2026-05-18T04:11:40.887292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d5179d2b144cced83819339dba58af110cf6bbdd7e86f0349581f74911c2d5

Aliases

arxiv: 0811.2261 · arxiv_version: 0811.2261v1 · doi: 10.48550/arxiv.0811.2261 · pith_short_12: DDKRPHJLCRGM · pith_short_16: DDKRPHJLCRGM5WBY · pith_short_8: DDKRPHJL

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/DDKRPHJLCRGM5WBYDEZZ3OSYV4 \
  | 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: 18d5179d2b144cced83819339dba58af110cf6bbdd7e86f0349581f74911c2d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab38acabb9cc1a97b0c17438fe5167c6beffed98827e22180caa960f23b65a4d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-14T06:09:28Z",
    "title_canon_sha256": "6947e949104112b5d091cf1c10c26acf2abd5f28da9e71cdce1989493516b094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2261",
    "kind": "arxiv",
    "version": 1
  }
}