Pith Number

pith:4NGJUSDW

pith:2019:4NGJUSDW7EAXEITZUWSBWXIIFN

not attested not anchored not stored refs pending

Noncollapsed degeneration of Einstein 4-manifolds I

Tristan Ozuch

arxiv:1909.12957 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{4NGJUSDW7EAXEITZUWSBWXIIFN}

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	2026-07-05T05:14:07.664718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34c9a4876f901722279a5a41b5d082b768364b67866697aa2fa8d321deb3625

Aliases

arxiv: 1909.12957 · arxiv_version: 1909.12957v2 · doi: 10.48550/arxiv.1909.12957 · pith_short_12: 4NGJUSDW7EAX · pith_short_16: 4NGJUSDW7EAXEITZ · pith_short_8: 4NGJUSDW

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/4NGJUSDW7EAXEITZUWSBWXIIFN \
  | 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: e34c9a4876f901722279a5a41b5d082b768364b67866697aa2fa8d321deb3625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a31cc5ffa17bcbc22472dd8b6f6084fe60a744e81f797914e50644501e6b93",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-27T21:09:36Z",
    "title_canon_sha256": "eb972262d68956efda40d831d73594a127a7e68fba238ccc1b20bb8a4a1bdeac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12957",
    "kind": "arxiv",
    "version": 2
  }
}