Pith Number

pith:TPHPSOLV

pith:2009:TPHPSOLVOBBCMB4EMJKXZ7OTIM

not attested not anchored not stored refs pending

Primary decomposition and the fractal nature of knot concordance

Constance Leidy (Wesleyan University), Shelly Harvey (Rice University), Tim D. Cochran (Rice University)

arxiv:0906.1373 v2 · 2009-06-07 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPHPSOLVOBBCMB4EMJKXZ7OTIM}

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	2026-05-18T04:10:57.385049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcef93975704226078462557cfdd3432ba26bac31f1a38009d0b8c12a381da2

Aliases

arxiv: 0906.1373 · arxiv_version: 0906.1373v2 · doi: 10.48550/arxiv.0906.1373 · pith_short_12: TPHPSOLVOBBC · pith_short_16: TPHPSOLVOBBCMB4E · pith_short_8: TPHPSOLV

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/TPHPSOLVOBBCMB4EMJKXZ7OTIM \
  | 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: 9bcef93975704226078462557cfdd3432ba26bac31f1a38009d0b8c12a381da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1861b657f2bba05a84cb6605694903223ec432a3563af82e2bbcbc3c083d4c6e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-07T18:26:06Z",
    "title_canon_sha256": "c58a202f0790c608cd1c72bdf7433e93f1ceda58340c4645070daa3f6da947db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1373",
    "kind": "arxiv",
    "version": 2
  }
}