Pith Number

pith:F7J2X3MN

pith:2005:F7J2X3MN3NXTQQNVVYNHLRUWXS

not attested not anchored not stored refs pending

New topologically slice knots

Peter Teichner, Stefan Friedl

arxiv:math/0505233 v3 · 2005-05-12 · 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{F7J2X3MN3NXTQQNVVYNHLRUWXS}

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	2026-05-18T02:32:46.722903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd3abed8ddb6f3841b5ae1a75c696bc858843981a1fafc2b572c84cd29da393

Aliases

arxiv: math/0505233 · arxiv_version: math/0505233v3 · doi: 10.48550/arxiv.math/0505233 · pith_short_12: F7J2X3MN3NXT · pith_short_16: F7J2X3MN3NXTQQNV · pith_short_8: F7J2X3MN

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/F7J2X3MN3NXTQQNVVYNHLRUWXS \
  | 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: 2fd3abed8ddb6f3841b5ae1a75c696bc858843981a1fafc2b572c84cd29da393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc7d21c2eb89e070d5e760c09661c614d3a1e73d1600858c560e3073a0439d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-05-12T00:40:00Z",
    "title_canon_sha256": "594b150e70dffe4914783322e18c8630b7325f0b47167577acf098ecdaf31eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505233",
    "kind": "arxiv",
    "version": 3
  }
}