Pith Number

pith:UEOPMXVY

pith:2007:UEOPMXVYZY75PK4S4FFEQUTJ6B

not attested not anchored not stored refs pending

2-torus manifolds, cobordism and small covers

Zhi L\"u

arxiv:math/0701928 v1 · 2007-01-31 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEOPMXVYZY75PK4S4FFEQUTJ6B}

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	2026-07-04T15:50:12.914603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a11cf65eb8ce3fd7ab92e14a485269f04832158386ba394d96585f04676b2bb9

Aliases

arxiv: math/0701928 · arxiv_version: math/0701928v1 · doi: 10.48550/arxiv.math/0701928 · pith_short_12: UEOPMXVYZY75 · pith_short_16: UEOPMXVYZY75PK4S · pith_short_8: UEOPMXVY

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/UEOPMXVYZY75PK4S4FFEQUTJ6B \
  | 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: a11cf65eb8ce3fd7ab92e14a485269f04832158386ba394d96585f04676b2bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a7e3662d65d4008375fe2fc77a6cf1f797c92cbb393caff749f66b7b964e07",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-01-31T16:21:50Z",
    "title_canon_sha256": "2a9a697ec7dbd0f06a3f75e6ab6b6f73382426b49509d4ed232630d8001a3b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701928",
    "kind": "arxiv",
    "version": 1
  }
}