Pith Number

pith:U2TIYL6W

pith:2012:U2TIYL6WM4JSRT74Q7MS3HVYWK

not attested not anchored not stored refs pending

Global G-Manifold reductions and resolutions

Catherine Searle, Karsten Grove

arxiv:1207.4423 v1 · 2012-07-18 · 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{U2TIYL6WM4JSRT74Q7MS3HVYWK}

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	2026-05-18T03:50:38.348666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a68c2fd6671328cffc87d92d9eb8b2ab97140f39a057d523f1be32f4bcfb98

Aliases

arxiv: 1207.4423 · arxiv_version: 1207.4423v1 · doi: 10.48550/arxiv.1207.4423 · pith_short_12: U2TIYL6WM4JS · pith_short_16: U2TIYL6WM4JSRT74 · pith_short_8: U2TIYL6W

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/U2TIYL6WM4JSRT74Q7MS3HVYWK \
  | 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: a6a68c2fd6671328cffc87d92d9eb8b2ab97140f39a057d523f1be32f4bcfb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92fd0cad056cb3594fc6e88e30c0fb0df1fcfd70fb74ac41b14c4213d83d47da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-18T17:49:29Z",
    "title_canon_sha256": "4c18a095df57159b2215e4dd288af2bde0955ad43ffec8c8aa117552f210b60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4423",
    "kind": "arxiv",
    "version": 1
  }
}