Pith Number

pith:YIBO6J2Y

pith:2013:YIBO6J2Y7VAPCVR3CGWUTILXVM

not attested not anchored not stored refs pending

The positive mass Theorem and Penrose inequality for graphical manifolds

Feliciano Vitorio, Heudson Mirandola

arxiv:1304.3504 v1 · 2013-04-11 · 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{YIBO6J2Y7VAPCVR3CGWUTILXVM}

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	2026-05-18T03:28:07.550219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c202ef2758fd40f1563b11ad49a177ab2e156fec8070f35595ff5e07169fe15d

Aliases

arxiv: 1304.3504 · arxiv_version: 1304.3504v1 · doi: 10.48550/arxiv.1304.3504 · pith_short_12: YIBO6J2Y7VAP · pith_short_16: YIBO6J2Y7VAPCVR3 · pith_short_8: YIBO6J2Y

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/YIBO6J2Y7VAPCVR3CGWUTILXVM \
  | 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: c202ef2758fd40f1563b11ad49a177ab2e156fec8070f35595ff5e07169fe15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a9479a9195a477657d368bb6e50a66ca492c9a15db2c06337c2d1a8d490f9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-11T22:43:26Z",
    "title_canon_sha256": "9dbc742458f4c242221d6db0df98ea4f2fbd2152a694833cc03a3c2b7e0086fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3504",
    "kind": "arxiv",
    "version": 1
  }
}