Pith Number

pith:56EFKZZI

pith:2009:56EFKZZI4OO6FBEIQ3GQ2NHUCX

not attested not anchored not stored refs pending

Invariant Berezin integration on homogeneous supermanifolds

Alexander Alldridge, Joachim Hilgert

arxiv:0911.3251 v1 · 2009-11-17 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56EFKZZI4OO6FBEIQ3GQ2NHUCX}

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	2026-05-18T04:40:56.113161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef88556728e39de2848886cd0d34f415c966977bd68575484fede084761ab6db

Aliases

arxiv: 0911.3251 · arxiv_version: 0911.3251v1 · doi: 10.48550/arxiv.0911.3251 · pith_short_12: 56EFKZZI4OO6 · pith_short_16: 56EFKZZI4OO6FBEI · pith_short_8: 56EFKZZI

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/56EFKZZI4OO6FBEIQ3GQ2NHUCX \
  | 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: ef88556728e39de2848886cd0d34f415c966977bd68575484fede084761ab6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992ac5b226b3f32043ce2788300613c5439a7836e38635c41934877619adfa00",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-17T10:30:53Z",
    "title_canon_sha256": "8bee07577108fb67fc684b7690e8545018344d1c7eaa7b81e547e33c616dcdee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3251",
    "kind": "arxiv",
    "version": 1
  }
}