Pith Number

pith:NGNOQHHQ

pith:2013:NGNOQHHQQNMHBFJPEW2S7ZA5YU

not attested not anchored not stored refs pending

A detailed proof of a theorem of Aubin

Farid Madani

arxiv:1303.3460 v1 · 2013-03-14 · 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{NGNOQHHQQNMHBFJPEW2S7ZA5YU}

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	2026-05-18T03:30:54.537825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699ae81cf0835870952f25b52fe41dc5190027dbe8aadf8e3e2d6b2709c2309d

Aliases

arxiv: 1303.3460 · arxiv_version: 1303.3460v1 · doi: 10.48550/arxiv.1303.3460 · pith_short_12: NGNOQHHQQNMH · pith_short_16: NGNOQHHQQNMHBFJP · pith_short_8: NGNOQHHQ

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/NGNOQHHQQNMHBFJPEW2S7ZA5YU \
  | 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: 699ae81cf0835870952f25b52fe41dc5190027dbe8aadf8e3e2d6b2709c2309d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865b2a09e13f0f73f00998a5857430b82a94eccabd9cd41b64d08db030ec7863",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-14T14:32:02Z",
    "title_canon_sha256": "e3deeb0960e7e9d3297f9b6788c518489ccc6e9a51c009d4dcae7cbf79a0c10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3460",
    "kind": "arxiv",
    "version": 1
  }
}