Pith Number

pith:VAIMFOBA

pith:2013:VAIMFOBAZF7M73D6EHRVXRYR5Y

not attested not anchored not stored refs pending

Quantitative Characterizations of Regularity Properties of Collections of Sets

Alexander Kruger, Nguyen Hieu Thao

arxiv:1309.7002 v3 · 2013-09-26 · 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{VAIMFOBAZF7M73D6EHRVXRYR5Y}

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	2026-05-18T02:29:15.912375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a810c2b820c97ecfec7e21e35bc711ee10e6e066e6146a11bd8fe3327cc16bc2

Aliases

arxiv: 1309.7002 · arxiv_version: 1309.7002v3 · doi: 10.48550/arxiv.1309.7002 · pith_short_12: VAIMFOBAZF7M · pith_short_16: VAIMFOBAZF7M73D6 · pith_short_8: VAIMFOBA

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/VAIMFOBAZF7M73D6EHRVXRYR5Y \
  | 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: a810c2b820c97ecfec7e21e35bc711ee10e6e066e6146a11bd8fe3327cc16bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffccdff15ec73161d1003a224ecac13b81e522355ca22b2e2cce5ef60fe3e402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-26T18:26:58Z",
    "title_canon_sha256": "4124008f58659b66b858eb2be3231b398a980e0c8e27017cb9eae40f91cbf0ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7002",
    "kind": "arxiv",
    "version": 3
  }
}