Pith Number

pith:TG5AZZZE

pith:2015:TG5AZZZEJZRBTEL6PFRPHBC3VY

not attested not anchored not stored refs pending

1-domination of knots

Dale Rolfsen, Michel Boileau, Shicheng Wang, Steven Boyer

arxiv:1511.07073 v1 · 2015-11-22 · math.AT · 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{TG5AZZZEJZRBTEL6PFRPHBC3VY}

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	2026-05-18T01:26:16.736758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ba0ce7244e6219917e7962f3845bae263ec92890d0990038b170fcdb65c980

Aliases

arxiv: 1511.07073 · arxiv_version: 1511.07073v1 · doi: 10.48550/arxiv.1511.07073 · pith_short_12: TG5AZZZEJZRB · pith_short_16: TG5AZZZEJZRBTEL6 · pith_short_8: TG5AZZZE

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/TG5AZZZEJZRBTEL6PFRPHBC3VY \
  | 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: 99ba0ce7244e6219917e7962f3845bae263ec92890d0990038b170fcdb65c980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44fc2bfed2c587ae86a76a00d01e15867cfef6ac236140821ad1ac968587a301",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-22T21:34:59Z",
    "title_canon_sha256": "ad70642bcd4d50067ded11692d5277cf358c568abcfe55d0811a280120177500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07073",
    "kind": "arxiv",
    "version": 1
  }
}