Pith Number

pith:OVT3ELFA

pith:2012:OVT3ELFADF3GS2IP7VM7JKIBL3

not attested not anchored not stored refs pending

Quasiadditivity of variational capacity

Juha Lehrb\"ack, Nageswari Shanmugalingam

arxiv:1211.6933 v1 · 2012-11-29 · 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{OVT3ELFADF3GS2IP7VM7JKIBL3}

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	2026-05-18T01:23:59.176188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7567b22ca0197669690ffd59f4a9015ef3d62732a7400951e4f4f4c0e5a334cf

Aliases

arxiv: 1211.6933 · arxiv_version: 1211.6933v1 · doi: 10.48550/arxiv.1211.6933 · pith_short_12: OVT3ELFADF3G · pith_short_16: OVT3ELFADF3GS2IP · pith_short_8: OVT3ELFA

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/OVT3ELFADF3GS2IP7VM7JKIBL3 \
  | 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: 7567b22ca0197669690ffd59f4a9015ef3d62732a7400951e4f4f4c0e5a334cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582e90539f230f001f19f763ceacc65a55f128cb307f3fa95bccbad671bbf017",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-29T14:46:37Z",
    "title_canon_sha256": "74c479f2cb818cc8b854e71eb4b2182567917e157fac75ac47ed630b2e943478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6933",
    "kind": "arxiv",
    "version": 1
  }
}