Pith Number

pith:BNTEZWRG

pith:2010:BNTEZWRGDDWY77UG4MIKV7GC44

not attested not anchored not stored refs pending

Unknotting Unknots

Allison Henrich, Louis H. Kauffman

arxiv:1006.4176 v4 · 2010-06-21 · 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{BNTEZWRGDDWY77UG4MIKV7GC44}

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	2026-05-18T04:09:35.120583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b664cda2618ed8ffe86e310aafcc2e7134e9f5a2d646e5cfbf6b2208f3ef355

Aliases

arxiv: 1006.4176 · arxiv_version: 1006.4176v4 · doi: 10.48550/arxiv.1006.4176 · pith_short_12: BNTEZWRGDDWY · pith_short_16: BNTEZWRGDDWY77UG · pith_short_8: BNTEZWRG

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/BNTEZWRGDDWY77UG4MIKV7GC44 \
  | 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: 0b664cda2618ed8ffe86e310aafcc2e7134e9f5a2d646e5cfbf6b2208f3ef355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "066ac1f8f95f308530d222db5d6fbaaa3f7fcc8da57f21fee9a3ab43eaec3e98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-21T21:09:20Z",
    "title_canon_sha256": "70e9c88183e67035823af0fe8a763a8d92a581c0acb8abe66812a6be4c406a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4176",
    "kind": "arxiv",
    "version": 4
  }
}