Pith Number

pith:23AXADFS

pith:2013:23AXADFSKW3GAD4EMMYDDBDO22

not attested not anchored not stored refs pending

On Minty's theorem in the Heisenberg group

Andrea Calogero, Rita Pini

arxiv:1310.2397 v1 · 2013-10-09 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23AXADFSKW3GAD4EMMYDDBDO22}

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	2026-05-18T03:10:56.944462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6c1700cb255b6600f84633031846ed6ae81cca2ff09cba1ecab02b00e4b97a4

Aliases

arxiv: 1310.2397 · arxiv_version: 1310.2397v1 · doi: 10.48550/arxiv.1310.2397 · pith_short_12: 23AXADFSKW3G · pith_short_16: 23AXADFSKW3GAD4E · pith_short_8: 23AXADFS

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/23AXADFSKW3GAD4EMMYDDBDO22 \
  | 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: d6c1700cb255b6600f84633031846ed6ae81cca2ff09cba1ecab02b00e4b97a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174edadab416d63898ffd2544d11613db155f44750a6c77df64d512246abe9e8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-09T08:48:58Z",
    "title_canon_sha256": "f4e62b7ab6ac945702e5fb9f1760311bed8919859de8c0d54710a619ee31553b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2397",
    "kind": "arxiv",
    "version": 1
  }
}