Pith Number

pith:ZTBS5N3Y

pith:2014:ZTBS5N3YV3HMQAXYOTDV4HYTWY

not attested not anchored not stored refs pending

An Enhanced Decomposition Theorem for Knots with Symmetry Information

Matt Mastin

arxiv:1411.2527 v2 · 2014-11-10 · 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{ZTBS5N3YV3HMQAXYOTDV4HYTWY}

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	2026-05-18T02:37:44.123432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc32eb778aecec802f874c75e1f13b63d9e17439f0149f469afc54e4d020bc4

Aliases

arxiv: 1411.2527 · arxiv_version: 1411.2527v2 · doi: 10.48550/arxiv.1411.2527 · pith_short_12: ZTBS5N3YV3HM · pith_short_16: ZTBS5N3YV3HMQAXY · pith_short_8: ZTBS5N3Y

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/ZTBS5N3YV3HMQAXYOTDV4HYTWY \
  | 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: ccc32eb778aecec802f874c75e1f13b63d9e17439f0149f469afc54e4d020bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37dfd8ffb9156723adb9b7dc0e102e40596c81c6155a79c2c2d1cf30bed7e700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-10T18:37:41Z",
    "title_canon_sha256": "39dcf66d43083b1f5a325236655797b1c7fec518d9a5712583dfb2ba702e6e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2527",
    "kind": "arxiv",
    "version": 2
  }
}