Pith Number

pith:4Y5VF5ES

pith:2015:4Y5VF5ESPLGGKJ6MWYN74NNDM5

not attested not anchored not stored refs pending

Knot Floer Homology and Khovanov-Rozansky Homology for Singular Links

Nathan Dowlin

arxiv:1511.08953 v2 · 2015-11-29 · 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{4Y5VF5ESPLGGKJ6MWYN74NNDM5}

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	2026-05-17T23:58:05.884890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e63b52f4927acc6527ccb61bfe35a3674aa088b39b681359b74e192e037f5223

Aliases

arxiv: 1511.08953 · arxiv_version: 1511.08953v2 · doi: 10.48550/arxiv.1511.08953 · pith_short_12: 4Y5VF5ESPLGG · pith_short_16: 4Y5VF5ESPLGGKJ6M · pith_short_8: 4Y5VF5ES

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/4Y5VF5ESPLGGKJ6MWYN74NNDM5 \
  | 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: e63b52f4927acc6527ccb61bfe35a3674aa088b39b681359b74e192e037f5223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5083cb8b06b8aec6cab6a7635dc3404a20df5129971c5343cf2802a890ef81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-29T01:12:20Z",
    "title_canon_sha256": "8c233a9f6d1dfc9f2f0b170831a04d854354ddc63773d5ad3c8c414f50d3503b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08953",
    "kind": "arxiv",
    "version": 2
  }
}