Pith Number

pith:SSDLIQOA

pith:2012:SSDLIQOAYDCUHOQGI4TP57RQCX

not attested not anchored not stored refs pending

On the Local $ Tb$ Theorem under Minimal Integrability

Antti V V\"ah\"akangas, Michael T Lacey

arxiv:1206.2861 v2 · 2012-06-13 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSDLIQOAYDCUHOQGI4TP57RQCX}

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	2026-05-18T03:53:19.476734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9486b441c0c0c543ba064726fefe3015cd94cacd49f603b127af0fddc459d5cd

Aliases

arxiv: 1206.2861 · arxiv_version: 1206.2861v2 · doi: 10.48550/arxiv.1206.2861 · pith_short_12: SSDLIQOAYDCU · pith_short_16: SSDLIQOAYDCUHOQG · pith_short_8: SSDLIQOA

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/SSDLIQOAYDCUHOQGI4TP57RQCX \
  | 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: 9486b441c0c0c543ba064726fefe3015cd94cacd49f603b127af0fddc459d5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204d1cf8dc1f1bfe40f31e625822cd6669ef412bcbd9fabf78d29d11f3e80ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-13T16:04:36Z",
    "title_canon_sha256": "90833139dedcd0ab0b213adcc38c9d2d7443d7a84782010f30e041e06db1ead7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2861",
    "kind": "arxiv",
    "version": 2
  }
}