Pith Number

pith:QL25DKED

pith:2011:QL25DKEDDXUCPNS75KRVQ3XFGC

not attested not anchored not stored refs pending

Three manifold groups, Kaehler groups and complex surfaces

Harish Seshadri, Indranil Biswas, Mahan Mj

arxiv:1101.1162 v3 · 2011-01-06 · math.GT · math.AG · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QL25DKEDDXUCPNS75KRVQ3XFGC}

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	2026-05-18T03:38:34.596069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f5d1a8831de827b65feaa3586ee530b7f1eaa7bab97b860476d520bec7ab6b

Aliases

arxiv: 1101.1162 · arxiv_version: 1101.1162v3 · doi: 10.48550/arxiv.1101.1162 · pith_short_12: QL25DKEDDXUC · pith_short_16: QL25DKEDDXUCPNS7 · pith_short_8: QL25DKED

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/QL25DKEDDXUCPNS75KRVQ3XFGC \
  | 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: 82f5d1a8831de827b65feaa3586ee530b7f1eaa7bab97b860476d520bec7ab6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c951fab0d722358692415f1192518fdbc840abc597e26fe36dd3d728099d2a5d",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-06T08:20:07Z",
    "title_canon_sha256": "07e1dac0bd233a264181f65186b59daa46e41968fea519bbe85bcb45a59f2da0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1162",
    "kind": "arxiv",
    "version": 3
  }
}