Pith Number

pith:O6TYPVJD

pith:2019:O6TYPVJDAGP37DMUYKXTHBYGPA

not attested not anchored not stored refs pending

A note on the tightness of $G_\delta$-modifications

Toshimichi Usuba

arxiv:1904.00322 v2 · 2019-03-31 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6TYPVJDAGP37DMUYKXTHBYGPA}

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	2026-05-17T23:40:38.906377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a787d523019fbf8d94c2af33870678148d7f2e752ebdacff8d473091383763

Aliases

arxiv: 1904.00322 · arxiv_version: 1904.00322v2 · doi: 10.48550/arxiv.1904.00322 · pith_short_12: O6TYPVJDAGP3 · pith_short_16: O6TYPVJDAGP37DMU · pith_short_8: O6TYPVJD

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/O6TYPVJDAGP37DMUYKXTHBYGPA \
  | 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: 77a787d523019fbf8d94c2af33870678148d7f2e752ebdacff8d473091383763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0fd45fae2016e6a7d24d7ef3fdbe91222440a189ac68fc319a1a75565a07d24",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-03-31T02:10:05Z",
    "title_canon_sha256": "4e6ebdd691e36801eb18102cbea6d4132a5e992e92c79a5d5a3a25d5c4807ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00322",
    "kind": "arxiv",
    "version": 2
  }
}