Pith Number

pith:2MZNJHOX

pith:2012:2MZNJHOXLECHTD63O36APKLTBT

not attested not anchored not stored refs pending

Prolongation of quasi-principal frame bundles and geometry of flag structures on manifolds

Boris Doubrov, Igor zelenko

arxiv:1210.7334 v2 · 2012-10-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MZNJHOXLECHTD63O36APKLTBT}

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	2026-05-18T03:12:57.891123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d332d49dd75904798fdb76fc07a9730cc6fc9ca4eab6212dab8b261ee7ad5e93

Aliases

arxiv: 1210.7334 · arxiv_version: 1210.7334v2 · doi: 10.48550/arxiv.1210.7334 · pith_short_12: 2MZNJHOXLECH · pith_short_16: 2MZNJHOXLECHTD63 · pith_short_8: 2MZNJHOX

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/2MZNJHOXLECHTD63O36APKLTBT \
  | 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: d332d49dd75904798fdb76fc07a9730cc6fc9ca4eab6212dab8b261ee7ad5e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d91f4ab1141f465a0f78097f33b816e18ca4786f958c0ed6ca7517dc790e5dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-27T15:20:26Z",
    "title_canon_sha256": "047f2c19004095345c8a773bf22f757c0c12dddb9d191346d6abb17d81fb1a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7334",
    "kind": "arxiv",
    "version": 2
  }
}