Pith Number

pith:MXH6NK3S

pith:2011:MXH6NK3SXUZEKOIMW5DGTQEUML

not attested not anchored not stored refs pending

The $A$-polynomial of the $(-2,3,3+2n)$ pretzel knots

Stavros Garoufalidis, Thomas W. Mattman

arxiv:1101.1349 v4 · 2011-01-07 · 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{MXH6NK3SXUZEKOIMW5DGTQEUML}

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	2026-05-18T04:24:45.118066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65cfe6ab72bd3245390cb74669c09462df267b5d2d6016b65992ad7a1a59872c

Aliases

arxiv: 1101.1349 · arxiv_version: 1101.1349v4 · doi: 10.48550/arxiv.1101.1349 · pith_short_12: MXH6NK3SXUZE · pith_short_16: MXH6NK3SXUZEKOIM · pith_short_8: MXH6NK3S

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/MXH6NK3SXUZEKOIMW5DGTQEUML \
  | 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: 65cfe6ab72bd3245390cb74669c09462df267b5d2d6016b65992ad7a1a59872c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0870e867c95041f6fd2d55295993137d73c432afd26cc0fd069a1ec78b4f8b75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-07T03:51:28Z",
    "title_canon_sha256": "eeab78395a344eefa589b47173a5f34d19e44a1a32d17b8de00b11e9797a0818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1349",
    "kind": "arxiv",
    "version": 4
  }
}