Pith Number

pith:AMMGHJNS

pith:2012:AMMGHJNSJOGSRNRF6CCOI2G3DF

not attested not anchored not stored refs pending

T-systems with boundaries from network solutions

Philippe Di Francesco, Rinat Kedem

arxiv:1208.4333 v2 · 2012-08-21 · math.CO · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMMGHJNSJOGSRNRF6CCOI2G3DF}

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

Twisted Cherednik spectrum as a $q,t$-deformation

Receipt and verification

First computed	2026-05-18T03:46:05.008254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031863a5b24b8d28b625f084e468db197a0585630a4d192373f87aeb1f7d56ff

Aliases

arxiv: 1208.4333 · arxiv_version: 1208.4333v2 · doi: 10.48550/arxiv.1208.4333 · pith_short_12: AMMGHJNSJOGS · pith_short_16: AMMGHJNSJOGSRNRF · pith_short_8: AMMGHJNS

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/AMMGHJNSJOGSRNRF6CCOI2G3DF \
  | 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: 031863a5b24b8d28b625f084e468db197a0585630a4d192373f87aeb1f7d56ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca02e932d34b16e0edf86fb4f018788a3763abb593c73372ca2d6c7f6080d46",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-21T18:29:47Z",
    "title_canon_sha256": "789eef5b6bf61df8e982c73101a18f8243a1d20cadfb51dda2ed0e6bc9a3d3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4333",
    "kind": "arxiv",
    "version": 2
  }
}