Pith Number

pith:GM3B3ZGS

pith:2011:GM3B3ZGSUFK6NLUASI6PGFF77S

not attested not anchored not stored refs pending

The signature package on Witt spaces

Eric Leichtnam, Paolo Piazza, Pierre Albin, Rafe Mazzeo

arxiv:1112.0989 v1 · 2011-12-05 · math.DG · 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{GM3B3ZGSUFK6NLUASI6PGFF77S}

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	2026-05-18T04:06:57.313791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33361de4d2a155e6ae80923cf314bffcb8be692653c5b9f78311fb44b685bcde

Aliases

arxiv: 1112.0989 · arxiv_version: 1112.0989v1 · doi: 10.48550/arxiv.1112.0989 · pith_short_12: GM3B3ZGSUFK6 · pith_short_16: GM3B3ZGSUFK6NLUA · pith_short_8: GM3B3ZGS

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/GM3B3ZGSUFK6NLUASI6PGFF77S \
  | 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: 33361de4d2a155e6ae80923cf314bffcb8be692653c5b9f78311fb44b685bcde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b0e88a0439bb1c5580cd5743e2ec0829c764fd8db8f41c90675e93df55bb8ac",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-05T16:49:12Z",
    "title_canon_sha256": "326a6a1bf5f1b2e271f1a3cd18e2865fe162c33a81ebe095cc96ae5bc5cdac3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0989",
    "kind": "arxiv",
    "version": 1
  }
}