Pith Number

pith:5S2IJ4FR

pith:2015:5S2IJ4FRRAVG3435VDV7JS6AGO

not attested not anchored not stored refs pending

Solutions to the singular $\sigma_2-$Yamabe problem with isolated singularities

Almir Silva Santos

arxiv:1507.00053 v1 · 2015-06-30 · 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{5S2IJ4FRRAVG3435VDV7JS6AGO}

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	2026-05-18T01:37:30.746213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb484f0b1882a6df37da8ebf4cbc033a08c35b34b5603cb34db7a28aa253646

Aliases

arxiv: 1507.00053 · arxiv_version: 1507.00053v1 · doi: 10.48550/arxiv.1507.00053 · pith_short_12: 5S2IJ4FRRAVG · pith_short_16: 5S2IJ4FRRAVG3435 · pith_short_8: 5S2IJ4FR

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/5S2IJ4FRRAVG3435VDV7JS6AGO \
  | 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: ecb484f0b1882a6df37da8ebf4cbc033a08c35b34b5603cb34db7a28aa253646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732a7ba5e6431ca3a929d3d882b0523dafe3627032d69e9f4a4fc87e3a79cb8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-30T22:28:51Z",
    "title_canon_sha256": "4291411a6337d652b97b9d83ea2afd90c02c5541525adb1eed4bc8514fa01aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00053",
    "kind": "arxiv",
    "version": 1
  }
}