Pith Number

pith:2TK3S6YY

pith:2009:2TK3S6YYV27TQTQTSL64JAHGAI

not attested not anchored not stored refs pending

Representations of pointed Hopf algebras over S_3

Agustin Garcia Iglesias

arxiv:0912.4081 v1 · 2009-12-21 · 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{2TK3S6YYV27TQTQTSL64JAHGAI}

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	2026-05-18T04:36:50.302394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d5b97b18aebf384e1392fdc480e602082d3caaf8783991400b151598feeddc

Aliases

arxiv: 0912.4081 · arxiv_version: 0912.4081v1 · doi: 10.48550/arxiv.0912.4081 · pith_short_12: 2TK3S6YYV27T · pith_short_16: 2TK3S6YYV27TQTQT · pith_short_8: 2TK3S6YY

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/2TK3S6YYV27TQTQTSL64JAHGAI \
  | 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: d4d5b97b18aebf384e1392fdc480e602082d3caaf8783991400b151598feeddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9551218b1c45216e4960cc557b0d05cb4dffe86aeb48b823afca65a7fda75fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-12-21T05:13:28Z",
    "title_canon_sha256": "1d98075c2c1b62c81989222d18b6fb938c0d3dd5376a2c48519aff0e6bec0f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4081",
    "kind": "arxiv",
    "version": 1
  }
}