Pith Number

pith:MA2T23E6

pith:2007:MA2T23E6K5LWQNXIY3GTT4OEGQ

not attested not anchored not stored refs pending

An optimization problem with volume constrain in Orlicz spaces

Sandra Martinez

arxiv:0706.4446 v2 · 2007-06-29 · 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{MA2T23E6K5LWQNXIY3GTT4OEGQ}

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	2026-05-18T02:16:29.780676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60353d6c9e57576836e8c6cd39f1c434368ffc94daf47b89e48b4a3bf3eaa6e8

Aliases

arxiv: 0706.4446 · arxiv_version: 0706.4446v2 · doi: 10.48550/arxiv.0706.4446 · pith_short_12: MA2T23E6K5LW · pith_short_16: MA2T23E6K5LWQNXI · pith_short_8: MA2T23E6

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/MA2T23E6K5LWQNXIY3GTT4OEGQ \
  | 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: 60353d6c9e57576836e8c6cd39f1c434368ffc94daf47b89e48b4a3bf3eaa6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864db374123475c8c7986ad8d9f8e3ddbf7a1c4d24651e9a6a17cefbd453c0c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-06-29T15:41:36Z",
    "title_canon_sha256": "3e51599f6af7de1e425cc8ead5625d3a8c20a88c005d35960620c1e7aa8c8fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4446",
    "kind": "arxiv",
    "version": 2
  }
}