Pith Number

pith:3VV4MLDO

pith:2015:3VV4MLDO3HYS2QQXMEPKZUBZDO

not attested not anchored not stored refs pending

On a Liu--Yau type inequality for surfaces

Oussama Hijazi, Sebastian Montiel, Simon Raulot (LMRS)

arxiv:1502.04087 v1 · 2015-02-13 · 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{3VV4MLDO3HYS2QQXMEPKZUBZDO}

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	2026-05-18T02:27:06.561347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6bc62c6ed9f12d4217611eacd0391b80a6710d14fde24d725df090ef7f3b65

Aliases

arxiv: 1502.04087 · arxiv_version: 1502.04087v1 · doi: 10.48550/arxiv.1502.04087 · pith_short_12: 3VV4MLDO3HYS · pith_short_16: 3VV4MLDO3HYS2QQX · pith_short_8: 3VV4MLDO

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/3VV4MLDO3HYS2QQXMEPKZUBZDO \
  | 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: dd6bc62c6ed9f12d4217611eacd0391b80a6710d14fde24d725df090ef7f3b65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f629b1c555bb4c2bd30403897fa71dc3dcf4fe39d183297059ccf5e6b4114ae9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-13T18:53:18Z",
    "title_canon_sha256": "84e9ea97f61b567e2399a48d10e5de6dd18686fd85de0c1f164994bfcb8b3e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04087",
    "kind": "arxiv",
    "version": 1
  }
}