Pith Number

pith:J42RPXTJ

pith:2012:J42RPXTJWO2SPOE6KKOI3PYDKJ

not attested not anchored not stored refs pending

The generic rank for $A$--plannar structures

Jaroslav Hrdina

arxiv:1206.3962 v1 · 2012-06-18 · 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{J42RPXTJWO2SPOE6KKOI3PYDKJ}

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	2026-05-18T03:53:18.267911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3517de69b3b527b89e529c8dbf035243930f563683c1b46613d4ebc84c4665

Aliases

arxiv: 1206.3962 · arxiv_version: 1206.3962v1 · doi: 10.48550/arxiv.1206.3962 · pith_short_12: J42RPXTJWO2S · pith_short_16: J42RPXTJWO2SPOE6 · pith_short_8: J42RPXTJ

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/J42RPXTJWO2SPOE6KKOI3PYDKJ \
  | 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: 4f3517de69b3b527b89e529c8dbf035243930f563683c1b46613d4ebc84c4665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e58413061efbadddc0493441a2f0d5552dbd60c4aeafdd1aeb073edd22ad36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-18T15:22:11Z",
    "title_canon_sha256": "226280fa3428f3aab9c8ecb2dce8a62176a1545f61980858b81f489ed53ea318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3962",
    "kind": "arxiv",
    "version": 1
  }
}