Pith Number

pith:CWZSV6MQ

pith:2007:CWZSV6MQXM3E36OROPCT7X5WNP

not attested not anchored not stored refs pending

A variational approach to the local character of G-closure: the convex case

Jean-Francois Babadjian, Marco Barchiesi

arxiv:math/0703419 v2 · 2007-03-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWZSV6MQXM3E36OROPCT7X5WNP}

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	2026-05-18T01:38:23.209983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b32af990bb364df9d173c53fdfb66bf6dcf66f9f9a0cf548a9bc9b1badc6ce

Aliases

arxiv: math/0703419 · arxiv_version: math/0703419v2 · doi: 10.48550/arxiv.math/0703419 · pith_short_12: CWZSV6MQXM3E · pith_short_16: CWZSV6MQXM3E36OR · pith_short_8: CWZSV6MQ

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/CWZSV6MQXM3E36OROPCT7X5WNP \
  | 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: 15b32af990bb364df9d173c53fdfb66bf6dcf66f9f9a0cf548a9bc9b1badc6ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d39e9c5ba24e95d51b6706fa815e43adf42006755cb7656208225e432ef1969",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-03-14T12:44:29Z",
    "title_canon_sha256": "09d00751cb6586130bc91749041b2dced096add920e87938bf434b59be77087a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703419",
    "kind": "arxiv",
    "version": 2
  }
}