Pith Number

pith:PT7DJZTV

pith:2017:PT7DJZTVRQZ4ORQVOM6LHA74HQ

not attested not anchored not stored refs pending

Betti Numbers of the HOMFLYPT Homology

Hao Wu

arxiv:1703.07257 v4 · 2017-03-21 · 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{PT7DJZTVRQZ4ORQVOM6LHA74HQ}

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	2026-05-18T00:19:19.428575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfe34e6758c33c74615733cb383fc3c3d26d49caadbf62b608d9443c2699959

Aliases

arxiv: 1703.07257 · arxiv_version: 1703.07257v4 · doi: 10.48550/arxiv.1703.07257 · pith_short_12: PT7DJZTVRQZ4 · pith_short_16: PT7DJZTVRQZ4ORQV · pith_short_8: PT7DJZTV

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/PT7DJZTVRQZ4ORQVOM6LHA74HQ \
  | 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: 7cfe34e6758c33c74615733cb383fc3c3d26d49caadbf62b608d9443c2699959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9fa003f75fc56859d9ff187497b9dbdc49c08c5c073cf77c3e0f5840272c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-21T15:04:06Z",
    "title_canon_sha256": "d116d082e4b8a6f95ed3b1ba44db2590ecd3f2bf9fe0485a1988d11d8e09ebcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07257",
    "kind": "arxiv",
    "version": 4
  }
}