Pith Number

pith:2O7TU2KD

pith:2012:2O7TU2KDS4BSMFKLL4QD274WRZ

not attested not anchored not stored refs pending

Schematic HN stratification for families of principal bundles and lambda modules

Nitin Nitsure, Sudarshan Gurjar

arxiv:1208.5572 v1 · 2012-08-28 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2O7TU2KDS4BSMFKLL4QD274WRZ}

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	2026-05-18T03:46:58.331668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bf3a6943970326154b5f203d7f968e4bfc3290b5fa0d831e6ca4b954082dab

Aliases

arxiv: 1208.5572 · arxiv_version: 1208.5572v1 · doi: 10.48550/arxiv.1208.5572 · pith_short_12: 2O7TU2KDS4BS · pith_short_16: 2O7TU2KDS4BSMFKL · pith_short_8: 2O7TU2KD

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/2O7TU2KDS4BSMFKLL4QD274WRZ \
  | 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: d3bf3a6943970326154b5f203d7f968e4bfc3290b5fa0d831e6ca4b954082dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad372c9dc4d25f64320f11573487ecea214039794b475e4cbe52c142d4150992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-28T07:23:01Z",
    "title_canon_sha256": "21b8d5c4e9610ded331780184ee214795a2812715ce1cd41039203120ba6afc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5572",
    "kind": "arxiv",
    "version": 1
  }
}