Pith Number

pith:FAAZLSRL

pith:2007:FAAZLSRL7WRXBICNB7XM24TSF7

not attested not anchored not stored refs pending

A universality theorem for Voevodsky's algebraic cobordism spectrum

I. Panin, K. Pimenov, O. R\"ondigs

arxiv:0709.4116 v1 · 2007-09-26 · 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{FAAZLSRL7WRXBICNB7XM24TSF7}

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	2026-07-04T15:04:30.640292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280195ca2bfda370a04d0feecd72722ffbfe7c3c81e4204cc36f1b27fce21bd9

Aliases

arxiv: 0709.4116 · arxiv_version: 0709.4116v1 · doi: 10.48550/arxiv.0709.4116 · pith_short_12: FAAZLSRL7WRX · pith_short_16: FAAZLSRL7WRXBICN · pith_short_8: FAAZLSRL

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/FAAZLSRL7WRXBICNB7XM24TSF7 \
  | 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: 280195ca2bfda370a04d0feecd72722ffbfe7c3c81e4204cc36f1b27fce21bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ace3ceea0ec23d2dc76fd74fc9f1330d600a22865b684fcc477510645417b7e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-26T10:38:59Z",
    "title_canon_sha256": "531e378f5851135fa8cb1d9577c161d47f92b7710aa9f4424a9655f949843d64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4116",
    "kind": "arxiv",
    "version": 1
  }
}