Pith Number

pith:4FQS7IA4

pith:2013:4FQS7IA42L2FSEV6QKW5JYSOZN

not attested not anchored not stored refs pending

Nonlinear elliptic equations with high order singularities

Eduardo V. Teixeira

arxiv:1307.1930 v5 · 2013-07-08 · math.AP · 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{4FQS7IA42L2FSEV6QKW5JYSOZN}

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	2026-05-18T01:14:59.111054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1612fa01cd2f45912be82add4e24ecb40eba8d68f8707ae33b6c5d7d2ad4d3f

Aliases

arxiv: 1307.1930 · arxiv_version: 1307.1930v5 · doi: 10.48550/arxiv.1307.1930 · pith_short_12: 4FQS7IA42L2F · pith_short_16: 4FQS7IA42L2FSEV6 · pith_short_8: 4FQS7IA4

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/4FQS7IA42L2FSEV6QKW5JYSOZN \
  | 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: e1612fa01cd2f45912be82add4e24ecb40eba8d68f8707ae33b6c5d7d2ad4d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba114e427049c86012d0f9610997568235a886a5f9e370651c2c122eee14eeb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-08T00:03:19Z",
    "title_canon_sha256": "35f1bfe9bfea917ebc9a4a739be262e70a0d34bad82f7b7a78876ebe56b95e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1930",
    "kind": "arxiv",
    "version": 5
  }
}