Pith Number

pith:PE7BOJSC

pith:2019:PE7BOJSCISWV44VH7EQM36XWVF

not attested not anchored not stored refs pending

Complex structure degenerations and collapsing of Calabi-Yau metrics

Ruobing Zhang, Song Sun

arxiv:1906.03368 v3 · 2019-06-08 · math.DG · math-ph · math.AG · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PE7BOJSCISWV44VH7EQM36XWVF}

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	2026-07-05T09:05:58.235580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793e17264244ad5e72a7f920cdfaf6a964d2876e74c83ef633054632f8d2f2b2

Aliases

arxiv: 1906.03368 · arxiv_version: 1906.03368v3 · doi: 10.48550/arxiv.1906.03368 · pith_short_12: PE7BOJSCISWV · pith_short_16: PE7BOJSCISWV44VH · pith_short_8: PE7BOJSC

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/PE7BOJSCISWV44VH7EQM36XWVF \
  | 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: 793e17264244ad5e72a7f920cdfaf6a964d2876e74c83ef633054632f8d2f2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f092b52050789972ab17589eadef5c5045802cc1992341d352fb2da64f77d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-08T01:39:44Z",
    "title_canon_sha256": "85f819f830342a28c8faca08283c66364ce09de3c4b5632bf748b35ac3d69c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03368",
    "kind": "arxiv",
    "version": 3
  }
}