Pith Number

pith:AKJ6YN23

pith:2010:AKJ6YN23YALLWQ4VCGIJ4THVTS

not attested not anchored not stored refs pending

On the Characteristic Curvature Operator

Vittorio Martino

arxiv:1011.1515 v1 · 2010-11-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKJ6YN23YALLWQ4VCGIJ4THVTS}

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	2026-05-18T04:36:51.012457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0293ec375bc016bb439511909e4cf59c9bfe239576bfe00f96ab4f67bc48668a

Aliases

arxiv: 1011.1515 · arxiv_version: 1011.1515v1 · doi: 10.48550/arxiv.1011.1515 · pith_short_12: AKJ6YN23YALL · pith_short_16: AKJ6YN23YALLWQ4V · pith_short_8: AKJ6YN23

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/AKJ6YN23YALLWQ4VCGIJ4THVTS \
  | 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: 0293ec375bc016bb439511909e4cf59c9bfe239576bfe00f96ab4f67bc48668a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8c5aebfa6b3613890753f8ea39dc5385e583e080d524dd3bd58dc2eb9a0be6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-05T21:20:10Z",
    "title_canon_sha256": "30e6d4b0c29a707b510bfeb521417d4a4644bee09d7ac527300b4368f34befed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1515",
    "kind": "arxiv",
    "version": 1
  }
}