Pith Number

pith:PVR4JUUU

pith:2012:PVR4JUUUYEVRDNWSRYHOOI4YID

not attested not anchored not stored refs pending

Galois action on knots I: Action of the absolute Galois group

Hidekazu Furusho

arxiv:1211.5469 v4 · 2012-11-23 · math.NT · math.AG · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVR4JUUUYEVRDNWSRYHOOI4YID}

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	2026-05-18T01:37:29.047131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d63c4d294c12b11b6d28e0ee7239840cc2855deefbc2bc9d3aaded41b65cd6f

Aliases

arxiv: 1211.5469 · arxiv_version: 1211.5469v4 · doi: 10.48550/arxiv.1211.5469 · pith_short_12: PVR4JUUUYEVR · pith_short_16: PVR4JUUUYEVRDNWS · pith_short_8: PVR4JUUU

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/PVR4JUUUYEVRDNWSRYHOOI4YID \
  | 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: 7d63c4d294c12b11b6d28e0ee7239840cc2855deefbc2bc9d3aaded41b65cd6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0823da794e0a5b75146f99276098d7fc309290840b1e00274560ee3f2afba01",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-23T11:04:54Z",
    "title_canon_sha256": "81d96052103d609d07a2baa76bd9ed8620094cd9b42cc25924cc9e5430675ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5469",
    "kind": "arxiv",
    "version": 4
  }
}