Pith Number

pith:FTNEO6L7

pith:2012:FTNEO6L7FEF2YEDN4HUQUXILRD

not attested not anchored not stored refs pending

Grassmannian framed bundles and generalized parabolic structures

Indranil Biswas, Jacques Hurtubise, Usha Bhosle

arxiv:1202.4239 v4 · 2012-02-20 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTNEO6L7FEF2YEDN4HUQUXILRD}

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	2026-05-18T03:06:52.018715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cda47797f290bac106de1e90a5d0b88dfa724b611e1a231c2382f957caf25e1

Aliases

arxiv: 1202.4239 · arxiv_version: 1202.4239v4 · doi: 10.48550/arxiv.1202.4239 · pith_short_12: FTNEO6L7FEF2 · pith_short_16: FTNEO6L7FEF2YEDN · pith_short_8: FTNEO6L7

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/FTNEO6L7FEF2YEDN4HUQUXILRD \
  | 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: 2cda47797f290bac106de1e90a5d0b88dfa724b611e1a231c2382f957caf25e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb571571bee908e8321435beeb1cb772657feb9ff056684825cf04b4eb4907c4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-20T07:49:34Z",
    "title_canon_sha256": "447216d0140829183421f3208f06d1d6fe05046b5814eaadb3209f5446ec451f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4239",
    "kind": "arxiv",
    "version": 4
  }
}