Pith Number

pith:YYV5HOP7

pith:2021:YYV5HOP7MJTPCC4WAMIHBJW4ON

not attested not anchored not stored refs pending

Knot homologies and generalized quiver partition functions

Pietro Longhi, Piotr Kucharski, Tobias Ekholm

arxiv:2108.12645 v2 · 2021-08-28 · hep-th · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYV5HOP7MJTPCC4WAMIHBJW4ON}

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.

Cited by

1 paper in Pith

Knot-quiver correspondence: a brief review

Receipt and verification

First computed	2026-07-05T03:48:07.964737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62bd3b9ff6266f10b96031070a6dc737806c11419217a9f6c5d2e26c4352c3d

Aliases

arxiv: 2108.12645 · arxiv_version: 2108.12645v2 · doi: 10.48550/arxiv.2108.12645 · pith_short_12: YYV5HOP7MJTP · pith_short_16: YYV5HOP7MJTPCC4W · pith_short_8: YYV5HOP7

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/YYV5HOP7MJTPCC4WAMIHBJW4ON \
  | 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: c62bd3b9ff6266f10b96031070a6dc737806c11419217a9f6c5d2e26c4352c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c65707c704f76be0d19d75642d196dfc0bdad811b273cdaabd297abe16f1c4",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-28T13:17:52Z",
    "title_canon_sha256": "339a57fb37fce9b4f61a6e839337b6db3ee987af84d54ca11d148c12a34b6c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12645",
    "kind": "arxiv",
    "version": 2
  }
}