Pith Number

pith:3LUG22OS

pith:2011:3LUG22OSY57EBEX5WTRMAQ4CQ4

not attested not anchored not stored refs pending

Traces on ideals in pivotal categories

Alexis Virelizier, Bertrand Patureau-Mirand, Nathan Geer

arxiv:1103.1660 v2 · 2011-03-08 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LUG22OSY57EBEX5WTRMAQ4CQ4}

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	2026-05-18T03:59:38.312551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae86d69d2c77e4092fdb4e2c0438287364a919a62da5227d7d79e9238bf1365

Aliases

arxiv: 1103.1660 · arxiv_version: 1103.1660v2 · doi: 10.48550/arxiv.1103.1660 · pith_short_12: 3LUG22OSY57E · pith_short_16: 3LUG22OSY57EBEX5 · pith_short_8: 3LUG22OS

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/3LUG22OSY57EBEX5WTRMAQ4CQ4 \
  | 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: dae86d69d2c77e4092fdb4e2c0438287364a919a62da5227d7d79e9238bf1365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af95fda9ee95f8965c0279256a72cfe850ba00c112d89f2a29e7e39c037c01fa",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-08T22:51:31Z",
    "title_canon_sha256": "5283e983663e28f884fb7378b13cc3a645145a21bd2d69b49549c02254c99d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1660",
    "kind": "arxiv",
    "version": 2
  }
}