Pith Number

pith:SSJB7GWO

pith:2008:SSJB7GWOQWG3VBH4NUQBA3DBLM

not attested not anchored not stored refs pending

Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation

Charles Livingston, Chris Herald, Paul Kirk

arxiv:0804.1355 v1 · 2008-04-08 · 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{SSJB7GWOQWG3VBH4NUQBA3DBLM}

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	2026-05-18T03:12:09.408457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94921f9ace858dba84fc6d20106c615b02a9b82d35d3ee41bb6be5338fc7fdcc

Aliases

arxiv: 0804.1355 · arxiv_version: 0804.1355v1 · doi: 10.48550/arxiv.0804.1355 · pith_short_12: SSJB7GWOQWG3 · pith_short_16: SSJB7GWOQWG3VBH4 · pith_short_8: SSJB7GWO

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/SSJB7GWOQWG3VBH4NUQBA3DBLM \
  | 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: 94921f9ace858dba84fc6d20106c615b02a9b82d35d3ee41bb6be5338fc7fdcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da7a8fbcefad0eb2ea18195d1040326437db11aa50c74f4857003567bdd8463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-08T20:06:13Z",
    "title_canon_sha256": "6a823a58b9b54b808a113cb4a38027675392092aaf798bc44446f554c49d790a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1355",
    "kind": "arxiv",
    "version": 1
  }
}