Pith Number

pith:K5T2B56V

pith:2003:K5T2B56V6ZTFRYHNITUBKFL4GW

not attested not anchored not stored refs pending

Rohlin's invariant and gauge theory II. Mapping tori

Daniel Ruberman, Nikolai Saveliev

arxiv:math/0306188 v2 · 2003-06-11 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5T2B56V6ZTFRYHNITUBKFL4GW}

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	2026-05-18T02:38:00.334551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5767a0f7d5f66658e0ed44e815157c359a73c64db383d8eb793507b7e3010849

Aliases

arxiv: math/0306188 · arxiv_version: math/0306188v2 · doi: 10.48550/arxiv.math/0306188 · pith_short_12: K5T2B56V6ZTF · pith_short_16: K5T2B56V6ZTFRYHN · pith_short_8: K5T2B56V

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/K5T2B56V6ZTFRYHNITUBKFL4GW \
  | 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: 5767a0f7d5f66658e0ed44e815157c359a73c64db383d8eb793507b7e3010849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14df6b0c59ee8a0d15d459135bde3141d0b63a1d41909024db6af5fa9af993e7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-06-11T15:36:45Z",
    "title_canon_sha256": "b52dc4d9e2fb55769685d27d76eb3b621b4bd47a24d879d9eb3667828ace3e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306188",
    "kind": "arxiv",
    "version": 2
  }
}