Pith Number

pith:3M2NPCKX

pith:2013:3M2NPCKXM253I3HC5W2B66H3HA

not attested not anchored not stored refs pending

Hyperbolic Alexandrov-Fenchel quermassintegral inequalities I

Guofang Wang, Jie Wu, Yuxin Ge

arxiv:1303.1714 v2 · 2013-03-07 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M2NPCKXM253I3HC5W2B66H3HA}

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	2026-05-18T03:30:25.099834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db34d7895766bbb46ce2edb41f78fb382f23fa5c7475bc619b771544da4b792b

Aliases

arxiv: 1303.1714 · arxiv_version: 1303.1714v2 · doi: 10.48550/arxiv.1303.1714 · pith_short_12: 3M2NPCKXM253 · pith_short_16: 3M2NPCKXM253I3HC · pith_short_8: 3M2NPCKX

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/3M2NPCKXM253I3HC5W2B66H3HA \
  | 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: db34d7895766bbb46ce2edb41f78fb382f23fa5c7475bc619b771544da4b792b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffe34d320d62ab338f2d6ed49cfa85f3aeaccc134901e24e0d1109381af2d42",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-07T15:17:51Z",
    "title_canon_sha256": "bc989f63bccfa6d051e2124328177bf56c02944b45327ef314f6ecff65523188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1714",
    "kind": "arxiv",
    "version": 2
  }
}