Pith Number

pith:WNPA6MPA

pith:2025:WNPA6MPAKBKJUGUTYBHXIQ66PN

not attested not anchored not stored refs pending

Colored knot Floer homology: structures and examples

Akram Alishahi, Beibei Liu, Eugene Gorsky

arxiv:2508.21776 v1 · 2025-08-29 · 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{WNPA6MPAKBKJUGUTYBHXIQ66PN}

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	2026-07-05T12:01:49.512258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35e0f31e050549a1a93c04f7443de7b763589c4e4207263b7a232a2f4c20b5a

Aliases

arxiv: 2508.21776 · arxiv_version: 2508.21776v1 · doi: 10.48550/arxiv.2508.21776 · pith_short_12: WNPA6MPAKBKJ · pith_short_16: WNPA6MPAKBKJUGUT · pith_short_8: WNPA6MPA

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/WNPA6MPAKBKJUGUTYBHXIQ66PN \
  | 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: b35e0f31e050549a1a93c04f7443de7b763589c4e4207263b7a232a2f4c20b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351300fb9817ca8cd4f9b9f99303c08a7d7e7a20a4a90c3421b4a03250329700",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-08-29T16:50:42Z",
    "title_canon_sha256": "7b4b74171330e2039e8c0982fe067222dd13f0946ca6c15037dbd9e400a86f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21776",
    "kind": "arxiv",
    "version": 1
  }
}