Pith Number

pith:RHC2TK6K

pith:2013:RHC2TK6KA5W2DT6J4DSQNUZAZ5

not attested not anchored not stored refs pending

Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology

C.-M. Michael Wong

arxiv:1305.2562 v2 · 2013-05-12 · 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{RHC2TK6KA5W2DT6J4DSQNUZAZ5}

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	2026-05-18T00:21:01.026520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c5a9abca076da1cfc9e0e506d320cf42c1d4abb61318e7c982522a575a3705

Aliases

arxiv: 1305.2562 · arxiv_version: 1305.2562v2 · doi: 10.48550/arxiv.1305.2562 · pith_short_12: RHC2TK6KA5W2 · pith_short_16: RHC2TK6KA5W2DT6J · pith_short_8: RHC2TK6K

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/RHC2TK6KA5W2DT6J4DSQNUZAZ5 \
  | 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: 89c5a9abca076da1cfc9e0e506d320cf42c1d4abb61318e7c982522a575a3705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279d2398e46e4ab161e9007f7f76c4c04735607f7cf5b22d7105a9aa987ca977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-12T05:59:14Z",
    "title_canon_sha256": "67e59fc4876651ac26495c8859ac192df76761cd6c3ce2fc7d5187025fd5c7e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2562",
    "kind": "arxiv",
    "version": 2
  }
}