Pith Number

pith:MHGPXAAN

pith:2018:MHGPXAANCD3GPVKL6QDMRVW7E6

not attested not anchored not stored refs pending

A spectral sequence from Khovanov homology to knot Floer homology

Nathan Dowlin

arxiv:1811.07848 v1 · 2018-11-19 · 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{MHGPXAANCD3GPVKL6QDMRVW7E6}

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	2026-05-18T00:00:23.304027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ccfb800d10f667d54bf406c8d6df27965dc478e315d9c9af7a89be501f3ba4

Aliases

arxiv: 1811.07848 · arxiv_version: 1811.07848v1 · doi: 10.48550/arxiv.1811.07848 · pith_short_12: MHGPXAANCD3G · pith_short_16: MHGPXAANCD3GPVKL · pith_short_8: MHGPXAAN

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/MHGPXAANCD3GPVKL6QDMRVW7E6 \
  | 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: 61ccfb800d10f667d54bf406c8d6df27965dc478e315d9c9af7a89be501f3ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec5d6cc035a47cdc84d77b16a1e76c9a3f2546aa4109d15c8bf56ef8f3625aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-19T18:09:04Z",
    "title_canon_sha256": "7c288673eb1b254ed334259c397b1560c06b3cb5bc42106c8361dd92e33f70cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07848",
    "kind": "arxiv",
    "version": 1
  }
}