Pith Number

pith:HWQG2432

pith:2013:HWQG24327INZ6QFIHPISKWOXMH

not attested not anchored not stored refs pending

Global gauges and global extensions in optimal spaces

Mircea Petrache, Tristan Rivi\`ere

arxiv:1302.5659 v1 · 2013-02-22 · math.FA · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWQG24327INZ6QFIHPISKWOXMH}

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	2026-05-18T01:22:25.677147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da06d737afa1b9f40a83bd12559d761e1f188fbcf2574b46b733f35fe6d27a3

Aliases

arxiv: 1302.5659 · arxiv_version: 1302.5659v1 · doi: 10.48550/arxiv.1302.5659 · pith_short_12: HWQG24327INZ · pith_short_16: HWQG24327INZ6QFI · pith_short_8: HWQG2432

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/HWQG24327INZ6QFIHPISKWOXMH \
  | 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: 3da06d737afa1b9f40a83bd12559d761e1f188fbcf2574b46b733f35fe6d27a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac363f22eb3fbea0eced0148022d592c5b30293f881f0ec1c55861bddcdad826",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-22T17:43:03Z",
    "title_canon_sha256": "55a798fe39c6e4cc831f345a38b9f60051f0fd8a5f476333121107d7a3a2ef2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5659",
    "kind": "arxiv",
    "version": 1
  }
}