Pith Number

pith:JMDXP4EP

pith:2012:JMDXP4EPUQMOQHOEMG5SASH3Z7

not attested not anchored not stored refs pending

The convex hull of a Banach-Saks set

C. Ruiz, J. Lopez-Abad, P. Tradacete

arxiv:1209.4851 v1 · 2012-09-21 · math.FA · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMDXP4EPUQMOQHOEMG5SASH3Z7}

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	2026-05-18T03:45:01.634286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0777f08fa418e81dc461bb2048fbcfc61e39f1308bf707bffcac307c80dd5b

Aliases

arxiv: 1209.4851 · arxiv_version: 1209.4851v1 · doi: 10.48550/arxiv.1209.4851 · pith_short_12: JMDXP4EPUQMO · pith_short_16: JMDXP4EPUQMOQHOE · pith_short_8: JMDXP4EP

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/JMDXP4EPUQMOQHOEMG5SASH3Z7 \
  | 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: 4b0777f08fa418e81dc461bb2048fbcfc61e39f1308bf707bffcac307c80dd5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558bb4576a647eaaa8c4f88ada9587c002a195565d294a1a36672d72dc4ac530",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-21T15:56:07Z",
    "title_canon_sha256": "eaf906ed52f33bd81f05fd662a71eff2495c571b404133dd3e43c0c275a737f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4851",
    "kind": "arxiv",
    "version": 1
  }
}