Pith Number

pith:JAKV45UF

pith:2006:JAKV45UFMAS6PS4F5NA2FSEHA6

not attested not anchored not stored refs pending

Weak Projections onto a Braided Hopf Algebra

A. Ardizzoni, C. Menini, D. Stefan

arxiv:math/0610273 v1 · 2006-10-09 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAKV45UFMAS6PS4F5NA2FSEHA6}

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	2026-05-18T04:41:45.019987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48155e76856025e7cb85eb41a2c88707a89cf336f2608e2c9ba61933a3c96ccb

Aliases

arxiv: math/0610273 · arxiv_version: math/0610273v1 · doi: 10.48550/arxiv.math/0610273 · pith_short_12: JAKV45UFMAS6 · pith_short_16: JAKV45UFMAS6PS4F · pith_short_8: JAKV45UF

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/JAKV45UFMAS6PS4F5NA2FSEHA6 \
  | 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: 48155e76856025e7cb85eb41a2c88707a89cf336f2608e2c9ba61933a3c96ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb705855e7414db3c92f96d4e1e987d2a8ff18c1aa20dd68416642cb5fdd2a6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-10-09T07:52:50Z",
    "title_canon_sha256": "72a79c7da17a45cdbff352b6dc89c2a482264ff003c846272c1207c6186c69c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610273",
    "kind": "arxiv",
    "version": 1
  }
}