Pith Number

pith:H77Y3HU5

pith:2015:H77Y3HU5C7NMMCW4D63NDMLGLM

not attested not anchored not stored refs pending

Graph polynomials and link invariants as positive type functions on Thompson's group F

Roberto Conti, Valeriano Aiello

arxiv:1510.04428 v2 · 2015-10-15 · math.GR · math-ph · math.CO · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H77Y3HU5C7NMMCW4D63NDMLGLM}

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

Remarks on some maximal subgroups of $F$ and on the $\vec{F}$-index of knots

Receipt and verification

First computed	2026-05-17T23:40:50.129532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fff8d9e9d17dac60adc1fb6d1b1665b3e8f0054260e683a4f87d89c5b3d6793

Aliases

arxiv: 1510.04428 · arxiv_version: 1510.04428v2 · doi: 10.48550/arxiv.1510.04428 · pith_short_12: H77Y3HU5C7NM · pith_short_16: H77Y3HU5C7NMMCW4 · pith_short_8: H77Y3HU5

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/H77Y3HU5C7NMMCW4D63NDMLGLM \
  | 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: 3fff8d9e9d17dac60adc1fb6d1b1665b3e8f0054260e683a4f87d89c5b3d6793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cac1c4fbc7ffcf5fb221e48a1df976bace45b2a18deb60ddd59f7e6a1c4778d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-15T07:34:15Z",
    "title_canon_sha256": "a2172632dfd01863ea027a0631f2a6865dfa292971d256d7ae7d412560dff733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04428",
    "kind": "arxiv",
    "version": 2
  }
}