Pith Number

pith:FWJQZGIM

pith:2015:FWJQZGIM3IL7F5SLCEPWJVNE3A

not attested not anchored not stored refs pending

Critical metrics of the total scalar curvature functional on 4-manifolds

A. Barros, B. Leandro, E. Ribeiro Jr

arxiv:1505.01644 v1 · 2015-05-07 · 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{FWJQZGIM3IL7F5SLCEPWJVNE3A}

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	2026-05-18T02:16:40.394079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d930c990cda17f2f64b111f64d5a4d827489a5d649581df163e8178873c5ecd

Aliases

arxiv: 1505.01644 · arxiv_version: 1505.01644v1 · doi: 10.48550/arxiv.1505.01644 · pith_short_12: FWJQZGIM3IL7 · pith_short_16: FWJQZGIM3IL7F5SL · pith_short_8: FWJQZGIM

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/FWJQZGIM3IL7F5SLCEPWJVNE3A \
  | 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: 2d930c990cda17f2f64b111f64d5a4d827489a5d649581df163e8178873c5ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c429f6ae2291e797eda01a54cb6e9f602207bcd59487b5c22505b2c7fc996cbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-07T09:57:19Z",
    "title_canon_sha256": "5a0fff170b0ced5f4a1e1021943bb74d541527731b108753b91686aba1c8e365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01644",
    "kind": "arxiv",
    "version": 1
  }
}