Pith Number

pith:7JXHSJBS

pith:2016:7JXHSJBSZNXPJWVOOSR7JS2GYR

not attested not anchored not stored refs pending

New Volume Comparison results and Applications to degeneration of Riemannian metrics

Meng Zhu, Qi S Zhang

arxiv:1605.09420 v1 · 2016-05-30 · 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{7JXHSJBSZNXPJWVOOSR7JS2GYR}

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	2026-05-18T01:13:17.374660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa6e792432cb6ef4daae74a3f4cb46c46f5e453f418ee1ce8cf72ba1c0214251

Aliases

arxiv: 1605.09420 · arxiv_version: 1605.09420v1 · doi: 10.48550/arxiv.1605.09420 · pith_short_12: 7JXHSJBSZNXP · pith_short_16: 7JXHSJBSZNXPJWVO · pith_short_8: 7JXHSJBS

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/7JXHSJBSZNXPJWVOOSR7JS2GYR \
  | 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: fa6e792432cb6ef4daae74a3f4cb46c46f5e453f418ee1ce8cf72ba1c0214251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea40baf274cf04057765f776137ebf05d5eb0e2b6484e36791902fe7e650608",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-30T21:25:55Z",
    "title_canon_sha256": "3289385f6ed0782ee5de203eb5d5bfa71140c96926572fa3f1f0252ce9f1f209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09420",
    "kind": "arxiv",
    "version": 1
  }
}