Pith Number

pith:DA2CQOPK

pith:2013:DA2CQOPK2AFOGWPLBKS4EHRCO3

not attested not anchored not stored refs pending

Balls minimize trace constants in BV

Andrea Cianchi, Carlo Nitsch, Cristina Trombetti, Vincenzo Ferone

arxiv:1301.5770 v1 · 2013-01-24 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DA2CQOPK2AFOGWPLBKS4EHRCO3}

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	2026-05-18T03:35:37.488944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18342839ead00ae359eb0aa5c21e2276f93309ac56ce3ca56974f606ca1524f7

Aliases

arxiv: 1301.5770 · arxiv_version: 1301.5770v1 · doi: 10.48550/arxiv.1301.5770 · pith_short_12: DA2CQOPK2AFO · pith_short_16: DA2CQOPK2AFOGWPL · pith_short_8: DA2CQOPK

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/DA2CQOPK2AFOGWPLBKS4EHRCO3 \
  | 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: 18342839ead00ae359eb0aa5c21e2276f93309ac56ce3ca56974f606ca1524f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff113e1fc5c56c68a98bd3cd5451d5e1ff765737bd0a059804d29343280eb63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-01-24T12:35:28Z",
    "title_canon_sha256": "06f41457949f2180bccaf715d65b9a026ba0b84991bd6e9e36e01760188c0d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5770",
    "kind": "arxiv",
    "version": 1
  }
}