Pith Number

pith:BE2GJLNE

pith:2008:BE2GJLNESQGZEWPLMFMYCFGRFU

not attested not anchored not stored refs pending

Index formulas on stratified manifolds

A. Savin, B. Sternin

arxiv:0812.2055 v1 · 2008-12-11 · math.AP · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BE2GJLNESQGZEWPLMFMYCFGRFU}

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	2026-05-18T04:09:35.353150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

093464ada4940d9259eb61598114d12d0498232392fccee433461826b2675055

Aliases

arxiv: 0812.2055 · arxiv_version: 0812.2055v1 · doi: 10.48550/arxiv.0812.2055 · pith_short_12: BE2GJLNESQGZ · pith_short_16: BE2GJLNESQGZEWPL · pith_short_8: BE2GJLNE

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/BE2GJLNESQGZEWPLMFMYCFGRFU \
  | 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: 093464ada4940d9259eb61598114d12d0498232392fccee433461826b2675055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e233ed73a6e8a4cd5b31bf3793d5f911d20458452369cedd774eb40ff8354632",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-11T00:25:47Z",
    "title_canon_sha256": "c64ae62dae15c8d11e0c2c708d37c61f3c3a2e481c5bd642b3e7cd8de4d60fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2055",
    "kind": "arxiv",
    "version": 1
  }
}