Pith Number

pith:DPFQ7DZN

pith:2015:DPFQ7DZNQXXMR7GNCHLMHZXGZU

not attested not anchored not stored refs pending

Einstein $4-$Manifolds and Nonpositive Isotropic Curvature

Aldir Brasil, Ezio Costa, Feliciano Vitorio

arxiv:1502.04401 v2 · 2015-02-16 · 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{DPFQ7DZNQXXMR7GNCHLMHZXGZU}

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	2026-05-18T02:26:46.592434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcb0f8f2d85eec8fccd11d6c3e6e6cd00623190b62d260f855aea6dadb1daf9

Aliases

arxiv: 1502.04401 · arxiv_version: 1502.04401v2 · doi: 10.48550/arxiv.1502.04401 · pith_short_12: DPFQ7DZNQXXM · pith_short_16: DPFQ7DZNQXXMR7GN · pith_short_8: DPFQ7DZN

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/DPFQ7DZNQXXMR7GNCHLMHZXGZU \
  | 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: 1bcb0f8f2d85eec8fccd11d6c3e6e6cd00623190b62d260f855aea6dadb1daf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6801338fa768cb5113f81d695c1e2c60003674de14e9902e48e4eaa20046db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-16T01:27:05Z",
    "title_canon_sha256": "764018b3b4d763161fc14b15017321c77d3e668af8dd18394d3ad5ddbf92b44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04401",
    "kind": "arxiv",
    "version": 2
  }
}