Pith Number

pith:LMWULXLS

pith:2003:LMWULXLS25ML5KBETZCEUW6Y5X

not attested not anchored not stored refs pending

Alexander polynomials of non-locally-flat knots

Greg Friedman

arxiv:math/0307328 v1 · 2003-07-24 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMWULXLS25ML5KBETZCEUW6Y5X}

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	2026-05-18T04:25:26.476993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2d45dd72d758bea8249e444a5bd8edc2554f2069d4016e6523cf33e2376571

Aliases

arxiv: math/0307328 · arxiv_version: math/0307328v1 · doi: 10.48550/arxiv.math/0307328 · pith_short_12: LMWULXLS25ML · pith_short_16: LMWULXLS25ML5KBE · pith_short_8: LMWULXLS

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/LMWULXLS25ML5KBETZCEUW6Y5X \
  | 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: 5b2d45dd72d758bea8249e444a5bd8edc2554f2069d4016e6523cf33e2376571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7dcef61113ae979e63dcdbbe4beb6b753d29c0640c1e04117273c5fdfe99371",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-07-24T22:33:23Z",
    "title_canon_sha256": "f6ff591dd92b4e8e192eb16e1e3a80323240ffeb9c36e8b7ceec3346725578e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307328",
    "kind": "arxiv",
    "version": 1
  }
}