Pith Number

pith:EO4RNQVX

pith:2019:EO4RNQVXO4SK5IV52ZYZKT4725

not attested not anchored not stored refs pending

Noncollapsed degeneration of Einstein 4-manifolds II

Tristan Ozuch

arxiv:1909.12960 v2 · 2019-09-27 · 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{EO4RNQVXO4SK5IV52ZYZKT4725}

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	2026-07-05T05:14:07.680223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b916c2b77724aea2bdd671954f9fd7722dfe2a27bf155c85929fa87725e98d

Aliases

arxiv: 1909.12960 · arxiv_version: 1909.12960v2 · doi: 10.48550/arxiv.1909.12960 · pith_short_12: EO4RNQVXO4SK · pith_short_16: EO4RNQVXO4SK5IV5 · pith_short_8: EO4RNQVX

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/EO4RNQVXO4SK5IV52ZYZKT4725 \
  | 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: 23b916c2b77724aea2bdd671954f9fd7722dfe2a27bf155c85929fa87725e98d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e2d8fda1e85b905324d50d0981e923de482fd45b3f76e626d695e10b96c67e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-27T21:19:05Z",
    "title_canon_sha256": "f2df752f2aa9b9b3006f27d2bbd69b4b1072abb009464ed5b228d5b4f2bc55ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12960",
    "kind": "arxiv",
    "version": 2
  }
}