Pith Number

pith:GOOVHPEB

pith:2011:GOOVHPEB3VY2QDRGRSMT3FW4YX

not attested not anchored not stored refs pending

Witt Groups of Curves and Surfaces

Marcus Zibrowius

arxiv:1110.1879 v4 · 2011-10-09 · 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{GOOVHPEB3VY2QDRGRSMT3FW4YX}

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	2026-05-18T02:26:59.216980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339d53bc81dd71a80e268c993d96dcc5d4a64d2e88977ba3ab5a24718119fa6b

Aliases

arxiv: 1110.1879 · arxiv_version: 1110.1879v4 · doi: 10.48550/arxiv.1110.1879 · pith_short_12: GOOVHPEB3VY2 · pith_short_16: GOOVHPEB3VY2QDRG · pith_short_8: GOOVHPEB

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/GOOVHPEB3VY2QDRGRSMT3FW4YX \
  | 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: 339d53bc81dd71a80e268c993d96dcc5d4a64d2e88977ba3ab5a24718119fa6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc71628b97405c5aa4570e590c5a406d30391ef56faa4502c37e62cbe2bd607",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-10-09T19:59:23Z",
    "title_canon_sha256": "532ec4e4e744b4295a19bd3c11a203334c938b31a5d7a5ef8ebc8178c335971c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1879",
    "kind": "arxiv",
    "version": 4
  }
}