Pith Number

pith:JGDTAGR2

pith:2015:JGDTAGR2IY56FYEXMBBB74J4QA

not attested not anchored not stored refs pending

The Knot Floer Cube of Resolutions and the Composition Product

Nathan Dowlin

arxiv:1508.03037 v2 · 2015-08-12 · 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{JGDTAGR2IY56FYEXMBBB74J4QA}

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	2026-05-18T00:49:42.663560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4987301a3a463be2e09760421ff13c8021765c53c573de0b17be27138296f4e2

Aliases

arxiv: 1508.03037 · arxiv_version: 1508.03037v2 · doi: 10.48550/arxiv.1508.03037 · pith_short_12: JGDTAGR2IY56 · pith_short_16: JGDTAGR2IY56FYEX · pith_short_8: JGDTAGR2

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/JGDTAGR2IY56FYEXMBBB74J4QA \
  | 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: 4987301a3a463be2e09760421ff13c8021765c53c573de0b17be27138296f4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816b0825e2950162059c010473ea9ed8430259f02b57bd7c27db34fbb7f06fcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-12T19:53:21Z",
    "title_canon_sha256": "aefdebcf5dec71845f0214270ed825ff031420ecd76a598f1e926aff65b9605a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03037",
    "kind": "arxiv",
    "version": 2
  }
}