Pith Number

pith:67PM2373

pith:2015:67PM2373LK4KWJG2OGZ4LWVUBO

not attested not anchored not stored refs pending

Explicit rigidity of almost-umbilical hypersurfaces

Julian Scheuer, Julien Roth

arxiv:1504.05749 v4 · 2015-04-22 · 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{67PM2373LK4KWJG2OGZ4LWVUBO}

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	2026-05-17T23:54:07.838292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7decd6ffb5ab8ab24da71b3c5dab40b99c9b330e5ff403b3751cb8eaae3dba3

Aliases

arxiv: 1504.05749 · arxiv_version: 1504.05749v4 · doi: 10.48550/arxiv.1504.05749 · pith_short_12: 67PM2373LK4K · pith_short_16: 67PM2373LK4KWJG2 · pith_short_8: 67PM2373

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/67PM2373LK4KWJG2OGZ4LWVUBO \
  | 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: f7decd6ffb5ab8ab24da71b3c5dab40b99c9b330e5ff403b3751cb8eaae3dba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ebeaa62753cd55ba1214d7a09ad802b3e21e0e3b1fd5023e4214f36fee6f8ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-22T12:04:14Z",
    "title_canon_sha256": "a03e1df4ff50c030b39b122c45b4fcdb0e5fb4f9df5399d221162e8f02cfa659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05749",
    "kind": "arxiv",
    "version": 4
  }
}