Pith Number

pith:3AIAOM7Y

pith:2014:3AIAOM7Y5F5WUBHXK4ZTK5TLR6

not attested not anchored not stored refs pending

Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary

A. Barros, E. Ribeiro Jr, R. Di\'ogenes

arxiv:1402.2216 v3 · 2014-02-10 · 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{3AIAOM7Y5F5WUBHXK4ZTK5TLR6}

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	2026-05-18T02:49:38.747348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8100733f8e97b6a04f7573335766b8f86f60dbd3052bd2c2ce1c1e6ac7a0e3c

Aliases

arxiv: 1402.2216 · arxiv_version: 1402.2216v3 · doi: 10.48550/arxiv.1402.2216 · pith_short_12: 3AIAOM7Y5F5W · pith_short_16: 3AIAOM7Y5F5WUBHX · pith_short_8: 3AIAOM7Y

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/3AIAOM7Y5F5WUBHXK4ZTK5TLR6 \
  | 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: d8100733f8e97b6a04f7573335766b8f86f60dbd3052bd2c2ce1c1e6ac7a0e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09cfac3198ea5bac88a68f62e2d5f561b0bf8feccd9b6b287898be97ae823b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-10T17:16:26Z",
    "title_canon_sha256": "3f5ce065a36df2f87a9492e4d9ab2126cedb805dc246c6ab3d1880792cf45442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2216",
    "kind": "arxiv",
    "version": 3
  }
}