Pith Number

pith:ABAOSJTO

pith:2024:ABAOSJTO77HBMCDFCRJSACP2ID

not attested not anchored not stored refs pending

Patterns of the $V_2$-polynomial of knots

Shana Yunsheng Li, Stavros Garoufalidis

arxiv:2409.03557 v6 · 2024-09-05 · math.GT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABAOSJTO77HBMCDFCRJSACP2ID}

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

2 papers in Pith

Positivity and log concavity of the Links--Gould polynomial of knots

A Fast, Strong, Topologically Meaningful and Fun Knot Invariant

Receipt and verification

First computed	2026-06-30T02:16:48.640355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0040e9266effce16086514532009fa40d25e459db06ebc82962794b3305e0904

Aliases

arxiv: 2409.03557 · arxiv_version: 2409.03557v6 · doi: 10.48550/arxiv.2409.03557 · pith_short_12: ABAOSJTO77HB · pith_short_16: ABAOSJTO77HBMCDF · pith_short_8: ABAOSJTO

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/ABAOSJTO77HBMCDFCRJSACP2ID \
  | 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: 0040e9266effce16086514532009fa40d25e459db06ebc82962794b3305e0904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b88ad212315c9436f64dea12cc7a25f2c3773a42ecff00d2aabd7aa0ab98a1e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-05T14:17:49Z",
    "title_canon_sha256": "08a545bc4182044a448813525021b8cca7e46990ee4527524167272136e887db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03557",
    "kind": "arxiv",
    "version": 6
  }
}