Pith Number

pith:GUATTX4H

pith:2015:GUATTX4HUHG2LAUCCVTMSNP5HF

not attested not anchored not stored refs pending

Minimal hypersurfaces of least area

Harold Rosenberg, Laurent Mazet

arxiv:1503.02938 v2 · 2015-03-10 · 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{GUATTX4HUHG2LAUCCVTMSNP5HF}

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	2026-05-18T02:20:58.776336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

350139df87a1cda582821566c935fd395ac6bd27b3762c7b680ee211b763d164

Aliases

arxiv: 1503.02938 · arxiv_version: 1503.02938v2 · doi: 10.48550/arxiv.1503.02938 · pith_short_12: GUATTX4HUHG2 · pith_short_16: GUATTX4HUHG2LAUC · pith_short_8: GUATTX4H

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/GUATTX4HUHG2LAUCCVTMSNP5HF \
  | 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: 350139df87a1cda582821566c935fd395ac6bd27b3762c7b680ee211b763d164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e569d6f35675df0cd8b4fc59e686c38c3ed511742233b4941d18adfa59c1f1b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-10T14:53:26Z",
    "title_canon_sha256": "10c829b4dbe61d1165c027d049f8d7c3989ca6dc64f31136b9daace21f573c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02938",
    "kind": "arxiv",
    "version": 2
  }
}