Pith Number

pith:DQS4NF4L

pith:2013:DQS4NF4LKAZZR2TBOPGUCBJW2C

not attested not anchored not stored refs pending

Centroid bodies and the convexity of area functionals

Andreas Bernig

arxiv:1305.1437 v2 · 2013-05-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQS4NF4LKAZZR2TBOPGUCBJW2C}

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	2026-05-18T01:32:19.187742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c25c6978b503398ea6173cd410536d09d880ec81db41fef544d0c7e476e907a

Aliases

arxiv: 1305.1437 · arxiv_version: 1305.1437v2 · doi: 10.48550/arxiv.1305.1437 · pith_short_12: DQS4NF4LKAZZ · pith_short_16: DQS4NF4LKAZZR2TB · pith_short_8: DQS4NF4L

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/DQS4NF4LKAZZR2TBOPGUCBJW2C \
  | 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: 1c25c6978b503398ea6173cd410536d09d880ec81db41fef544d0c7e476e907a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a48bfd07fd59c7c7460c23e96e8ba1d31ab62688b37e2359eefe6b4806aec26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-07T08:36:25Z",
    "title_canon_sha256": "90b53f7922a4ce3a132f42227ee2550c823b63b58e70c4214b1c45df24a2079f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1437",
    "kind": "arxiv",
    "version": 2
  }
}