Pith Number

pith:UOPXX4EU

pith:2016:UOPXX4EUOK36HWTNKX2VNNVNE4

not attested not anchored not stored refs pending

Elementary knot theory

Marc Lackenby

arxiv:1604.03778 v1 · 2016-04-13 · 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{UOPXX4EUOK36HWTNKX2VNNVNE4}

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	2026-05-18T01:17:11.089729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39f7bf09472b7e3da6d55f556b6ad2707dd5f0f45d5c8d7b3ddc43103d90b2d

Aliases

arxiv: 1604.03778 · arxiv_version: 1604.03778v1 · doi: 10.48550/arxiv.1604.03778 · pith_short_12: UOPXX4EUOK36 · pith_short_16: UOPXX4EUOK36HWTN · pith_short_8: UOPXX4EU

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/UOPXX4EUOK36HWTNKX2VNNVNE4 \
  | 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: a39f7bf09472b7e3da6d55f556b6ad2707dd5f0f45d5c8d7b3ddc43103d90b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a94572a932ce176a64e1d35eb8da49d27582c641fd15f624896180cdb34a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-13T14:02:45Z",
    "title_canon_sha256": "fcd3a9fcb4df99e3dbb868eebeabb8f8dd4769b9617c6bd81ad3de7e9f3c058d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03778",
    "kind": "arxiv",
    "version": 1
  }
}