Pith Number

pith:XFDRPWZ4

pith:2012:XFDRPWZ4KENI5HCK7SO4CR7JXX

not attested not anchored not stored refs pending

Hodge filtered complex bordism

Gereon Quick, Michael J. Hopkins

arxiv:1212.2173 v3 · 2012-12-10 · math.AT · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFDRPWZ4KENI5HCK7SO4CR7JXX}

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	2026-05-18T00:44:30.153121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94717db3c511a8e9c4afc9dc147e9bde0e05b723dc5e3c17725568301ff7ee6

Aliases

arxiv: 1212.2173 · arxiv_version: 1212.2173v3 · doi: 10.48550/arxiv.1212.2173 · pith_short_12: XFDRPWZ4KENI · pith_short_16: XFDRPWZ4KENI5HCK · pith_short_8: XFDRPWZ4

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/XFDRPWZ4KENI5HCK7SO4CR7JXX \
  | 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: b94717db3c511a8e9c4afc9dc147e9bde0e05b723dc5e3c17725568301ff7ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b711782b61b0a6601e905b67a1cbb7b56c8dc762fb9f610a1feb8d01ed9e372",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-10T19:25:27Z",
    "title_canon_sha256": "9cd52f77f27a49c549fc5e5ed6f82ee4c607a1191dd0e0bcfef7b2e1952f2121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2173",
    "kind": "arxiv",
    "version": 3
  }
}