Pith Number

pith:DM5JY2CD

pith:2005:DM5JY2CD652N7MFWRYEQAHQD3W

not attested not anchored not stored refs pending

A remark on Rasmussen's invariant of knots

Marco Mackaay, Paul Turner, Pedro Vaz

arxiv:math/0509692 v2 · 2005-09-29 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM5JY2CD652N7MFWRYEQAHQD3W}

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	2026-05-18T03:51:46.231172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3a9c6843f774dfb0b68e09001e03dda0bda283eed6f35ea9f7ab2f222db5fc

Aliases

arxiv: math/0509692 · arxiv_version: math/0509692v2 · doi: 10.48550/arxiv.math/0509692 · pith_short_12: DM5JY2CD652N · pith_short_16: DM5JY2CD652N7MFW · pith_short_8: DM5JY2CD

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/DM5JY2CD652N7MFWRYEQAHQD3W \
  | 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: 1b3a9c6843f774dfb0b68e09001e03dda0bda283eed6f35ea9f7ab2f222db5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab0a002dab5e6f3e79a925792e3683fed330073043a5b00ed1a4b0db7defd67",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-09-29T12:56:33Z",
    "title_canon_sha256": "44547ccc69cca5f17b1930e3dd6f7fb0b984ecc86fc4e32647caaec5dcea848d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509692",
    "kind": "arxiv",
    "version": 2
  }
}