Pith Number

pith:INA6H4X7

pith:2012:INA6H4X7W2VYO6HCMOFH7ZSL3K

not attested not anchored not stored refs pending

Nullity distributions associated to Cartan connection

A. Soleiman, Nabil L. Youssef, S. G. Elgendi

arxiv:1210.8359 v2 · 2012-10-31 · 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{INA6H4X7W2VYO6HCMOFH7ZSL3K}

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	2026-05-18T01:01:42.618919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4341e3f2ffb6ab8778e2638a7fe64bdab86ce14be3e8c07d03a650df53ea863f

Aliases

arxiv: 1210.8359 · arxiv_version: 1210.8359v2 · doi: 10.48550/arxiv.1210.8359 · pith_short_12: INA6H4X7W2VY · pith_short_16: INA6H4X7W2VYO6HC · pith_short_8: INA6H4X7

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/INA6H4X7W2VYO6HCMOFH7ZSL3K \
  | 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: 4341e3f2ffb6ab8778e2638a7fe64bdab86ce14be3e8c07d03a650df53ea863f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a5960b05dfe45f1ab53776d7ffd4ae58844ac3cb21543cb0958f8aaad77cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-31T15:10:04Z",
    "title_canon_sha256": "b1fef88220c7849e7a5ab60044eccf0f26cc2e33787e0a13ddd2e71f929dcc78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8359",
    "kind": "arxiv",
    "version": 2
  }
}