Pith Number

pith:HPDCXZBV

pith:2011:HPDCXZBVIP2VCGKME7JQELUVCI

not attested not anchored not stored refs pending

Central Exact Sequences of Tensor Categories, Equivariantization and Applications

Alain Brugui\`eres, Sonia Natale

arxiv:1112.3135 v1 · 2011-12-14 · 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{HPDCXZBVIP2VCGKME7JQELUVCI}

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	2026-05-18T04:06:20.059609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc62be43543f551194c27d3022e951212a695b54a4ea51f87980fda2131662e

Aliases

arxiv: 1112.3135 · arxiv_version: 1112.3135v1 · doi: 10.48550/arxiv.1112.3135 · pith_short_12: HPDCXZBVIP2V · pith_short_16: HPDCXZBVIP2VCGKM · pith_short_8: HPDCXZBV

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/HPDCXZBVIP2VCGKME7JQELUVCI \
  | 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: 3bc62be43543f551194c27d3022e951212a695b54a4ea51f87980fda2131662e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4426bc066f8d631835c3149958fbd8dee02e1db216f80d2a97ccb0a88f0ab93b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-12-14T07:21:02Z",
    "title_canon_sha256": "16fdb940945e1128cfafa269fcc5f0e60ca31323a1ab4c24f67fc7c87c20cb1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3135",
    "kind": "arxiv",
    "version": 1
  }
}