Pith Number

pith:F7Y432SA

pith:2013:F7Y432SAIHBKTMCN4PLRSR3LAN

not attested not anchored not stored refs pending

Local analysis of solutions of fractional semi-linear elliptic equations with isolated singularities

Jingang Xiong, Luis Caffarelli, Tianling Jin, Yannick Sire

arxiv:1309.2021 v1 · 2013-09-09 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7Y432SAIHBKTMCN4PLRSR3LAN}

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	2026-05-18T01:47:48.608060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff1cdea4041c2a9b04de3d719476b0366b274c9630c5589b2720f88a1482430

Aliases

arxiv: 1309.2021 · arxiv_version: 1309.2021v1 · doi: 10.48550/arxiv.1309.2021 · pith_short_12: F7Y432SAIHBK · pith_short_16: F7Y432SAIHBKTMCN · pith_short_8: F7Y432SA

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/F7Y432SAIHBKTMCN4PLRSR3LAN \
  | 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: 2ff1cdea4041c2a9b04de3d719476b0366b274c9630c5589b2720f88a1482430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726fc288d2f0a10980099cbccf3c8d6c92fb9757b55aaa8b574556477ea4d215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-09T00:55:43Z",
    "title_canon_sha256": "ba4b89d0e5bf724c9d56e678ad9469634055ecff68eb2c99acbcd90090b4f4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2021",
    "kind": "arxiv",
    "version": 1
  }
}