Pith Number

pith:PP6YWSRF

pith:2012:PP6YWSRFPAYP52KWFHDHNU3ERN

not attested not anchored not stored refs pending

Derived algebraic cobordism

Parker Lowrey, Timo Sch\"urg

arxiv:1211.7023 v2 · 2012-11-29 · math.AG · math.AT · 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{PP6YWSRFPAYP52KWFHDHNU3ERN}

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	2026-05-17T23:53:18.221456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bfd8b4a257830fee95629c676d3648b5a17a7443044445431c48a91ac213305

Aliases

arxiv: 1211.7023 · arxiv_version: 1211.7023v2 · doi: 10.48550/arxiv.1211.7023 · pith_short_12: PP6YWSRFPAYP · pith_short_16: PP6YWSRFPAYP52KW · pith_short_8: PP6YWSRF

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/PP6YWSRFPAYP52KWFHDHNU3ERN \
  | 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: 7bfd8b4a257830fee95629c676d3648b5a17a7443044445431c48a91ac213305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5898285842e0782b07ceed22f02491f5b63ed34392275dc12dd234b572cbda",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-29T19:05:55Z",
    "title_canon_sha256": "5c1326b27c39755ec99538cbea1e26885a4c35c0b8543200a94373b5cfd48f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7023",
    "kind": "arxiv",
    "version": 2
  }
}