Pith Number

pith:FG6FJKJK

pith:2010:FG6FJKJKLXHLFG2WRSDRWFQMZ6

not attested not anchored not stored refs pending

Quasi-isometric classification of non-geometric 3-manifold groups

Jason Behrstock, Walter D Neumann

arxiv:1001.0212 v2 · 2010-01-01 · math.GT · 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{FG6FJKJKLXHLFG2WRSDRWFQMZ6}

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	2026-05-18T02:46:31.762726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bc54a92a5dceb29b568c871b160ccf8330dbd6e46b9e673385eb53451efccc

Aliases

arxiv: 1001.0212 · arxiv_version: 1001.0212v2 · doi: 10.48550/arxiv.1001.0212 · pith_short_12: FG6FJKJKLXHL · pith_short_16: FG6FJKJKLXHLFG2W · pith_short_8: FG6FJKJK

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/FG6FJKJKLXHLFG2WRSDRWFQMZ6 \
  | 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: 29bc54a92a5dceb29b568c871b160ccf8330dbd6e46b9e673385eb53451efccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b49bf464a74f77abe12be1a99aab0c09946b61f7c6487120aa4a9471233c574",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-01T05:39:01Z",
    "title_canon_sha256": "6e1db2d1d9318ed4a776ac74a477c025cc8cc4e4a976162c085b04a3e76bbff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0212",
    "kind": "arxiv",
    "version": 2
  }
}