Pith Number

pith:Z2FT2OW3

pith:2013:Z2FT2OW3H4DTQ5QXYOP5GMNS3V

not attested not anchored not stored refs pending

New Proofs for Several Properties of Capacities

Guangyan Jia, Na Zhang

arxiv:1307.0913 v1 · 2013-07-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2FT2OW3H4DTQ5QXYOP5GMNS3V}

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	2026-05-18T03:19:23.721242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce8b3d3adb3f07387617c39fd331b2dd532744b24a7457b375d79d56dbb6f1a1

Aliases

arxiv: 1307.0913 · arxiv_version: 1307.0913v1 · doi: 10.48550/arxiv.1307.0913 · pith_short_12: Z2FT2OW3H4DT · pith_short_16: Z2FT2OW3H4DTQ5QX · pith_short_8: Z2FT2OW3

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/Z2FT2OW3H4DTQ5QXYOP5GMNS3V \
  | 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: ce8b3d3adb3f07387617c39fd331b2dd532744b24a7457b375d79d56dbb6f1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ee8bc99f00fa2096e29ccf247c2a774f09e523d0d94d311915f358f4b6822b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-03T04:41:42Z",
    "title_canon_sha256": "a84867ea2df10d30c49dd7abc1df821d3b8491f06f2ce48e71af3eebbb5874b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0913",
    "kind": "arxiv",
    "version": 1
  }
}