Pith Number

pith:BAGPKFYH

pith:2003:BAGPKFYHCXOYPPMQHHAGFTUXP2

not attested not anchored not stored refs pending

Non-orientable 3-manifolds of complexity up to 7

Bruno Martelli, Gennaro Amendola

arxiv:math/0312329 v1 · 2003-12-17 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAGPKFYHCXOYPPMQHHAGFTUXP2}

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	2026-05-18T04:14:06.208363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080cf5170715dd87bd9039c062ce977e8a97c43b0aebb676e70685cea9320a4d

Aliases

arxiv: math/0312329 · arxiv_version: math/0312329v1 · doi: 10.48550/arxiv.math/0312329 · pith_short_12: BAGPKFYHCXOY · pith_short_16: BAGPKFYHCXOYPPMQ · pith_short_8: BAGPKFYH

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/BAGPKFYHCXOYPPMQHHAGFTUXP2 \
  | 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: 080cf5170715dd87bd9039c062ce977e8a97c43b0aebb676e70685cea9320a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ebabaa072abbf9e9c89c8a854710c9b1ba38f49bb55df8c45c993e4a4a6b2b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-12-17T10:14:58Z",
    "title_canon_sha256": "586078cd70702b010953f9e737cd1fddcd151c0542b398b92a014b5d9fae1c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312329",
    "kind": "arxiv",
    "version": 1
  }
}