Pith Number

pith:FFUHBQHL

pith:2013:FFUHBQHLO4OGVNVRMHMGT25UPB

not attested not anchored not stored refs pending

Comparison Theorems for Manifold with Mean Convex Boundary

Jian Ge

arxiv:1306.5079 v1 · 2013-06-21 · 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{FFUHBQHLO4OGVNVRMHMGT25UPB}

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	2026-05-18T02:38:17.171817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296870c0eb771c6ab6b161d869ebb4785399b8e6ce09cce90e768abd9a7614e6

Aliases

arxiv: 1306.5079 · arxiv_version: 1306.5079v1 · doi: 10.48550/arxiv.1306.5079 · pith_short_12: FFUHBQHLO4OG · pith_short_16: FFUHBQHLO4OGVNVR · pith_short_8: FFUHBQHL

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/FFUHBQHLO4OGVNVRMHMGT25UPB \
  | 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: 296870c0eb771c6ab6b161d869ebb4785399b8e6ce09cce90e768abd9a7614e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1059c84699c3fa77ae10e2378b901e01c748a9ac627704bfd9a6b1c7cee76b9b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-21T09:20:56Z",
    "title_canon_sha256": "30e65b8c148a4304b1c45c7f9a6205bb9b28038cfafceb13aa4338dafd713e0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5079",
    "kind": "arxiv",
    "version": 1
  }
}