Pith Number

pith:35GRJKXQ

pith:2013:35GRJKXQQXQ5FO45XIPMVAKDOV

not attested not anchored not stored refs pending

Hyperbolic Alexandrov-Fenchel quermassintegral inequalities II

Guofang Wang, Jie Wu, Yuxin Ge

arxiv:1304.1417 v1 · 2013-04-04 · 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{35GRJKXQQXQ5FO45XIPMVAKDOV}

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	2026-05-18T03:28:56.824568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4d14aaf085e1d2bb9dba1eca8143757ec2199122663505c1c08e3a49e7fbf2

Aliases

arxiv: 1304.1417 · arxiv_version: 1304.1417v1 · doi: 10.48550/arxiv.1304.1417 · pith_short_12: 35GRJKXQQXQ5 · pith_short_16: 35GRJKXQQXQ5FO45 · pith_short_8: 35GRJKXQ

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/35GRJKXQQXQ5FO45XIPMVAKDOV \
  | 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: df4d14aaf085e1d2bb9dba1eca8143757ec2199122663505c1c08e3a49e7fbf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05347e6cd77092417b4b30a72a81e398c64654a933ed687d741964d4af65d7f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-04T16:21:10Z",
    "title_canon_sha256": "c87aec9ece081dd6c66b4d3fab2e2434c60be70ea6d6b2a9ebe6c20aa4453308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1417",
    "kind": "arxiv",
    "version": 1
  }
}