Pith Number

pith:B2MCXORD

pith:2012:B2MCXORDMOBFV44N5BKM6TNUF4

not attested not anchored not stored refs pending

The unknotting number and classical invariants I

Maciej Borodzik, Stefan Friedl

arxiv:1203.3225 v1 · 2012-03-14 · 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{B2MCXORDMOBFV44N5BKM6TNUF4}

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	2026-05-18T02:03:38.675529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e982bba2363825af38de854cf4db42f2239bd2c3eeea9d5fa0f09aca593c959

Aliases

arxiv: 1203.3225 · arxiv_version: 1203.3225v1 · doi: 10.48550/arxiv.1203.3225 · pith_short_12: B2MCXORDMOBF · pith_short_16: B2MCXORDMOBFV44N · pith_short_8: B2MCXORD

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/B2MCXORDMOBFV44N5BKM6TNUF4 \
  | 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: 0e982bba2363825af38de854cf4db42f2239bd2c3eeea9d5fa0f09aca593c959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e48460cc2e3c3b78d574966b57295135eb54b3e1a088581b697a756737c714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-14T21:59:59Z",
    "title_canon_sha256": "c4aa4bb6f067c140a7cce88f5993d0c1a3d90f0bb210db1487ab0981852ac199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3225",
    "kind": "arxiv",
    "version": 1
  }
}