Pith Number

pith:WHJPJ7CV

pith:2016:WHJPJ7CVOQ2RQUP2TC3BM4DVNE

not attested not anchored not stored refs pending

Interior regularity for fractional systems

Gonzalo Davila, Luis Caffarelli

arxiv:1604.04442 v1 · 2016-04-15 · 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{WHJPJ7CVOQ2RQUP2TC3BM4DVNE}

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	2026-05-18T01:17:02.226696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d2f4fc5574351851fa98b6167075691a59b0b09c0557f462a3931717c67bf1

Aliases

arxiv: 1604.04442 · arxiv_version: 1604.04442v1 · doi: 10.48550/arxiv.1604.04442 · pith_short_12: WHJPJ7CVOQ2R · pith_short_16: WHJPJ7CVOQ2RQUP2 · pith_short_8: WHJPJ7CV

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/WHJPJ7CVOQ2RQUP2TC3BM4DVNE \
  | 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: b1d2f4fc5574351851fa98b6167075691a59b0b09c0557f462a3931717c67bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adefdb642a4ad00830c81596bb17743681b93601ae819d23eab90829cf6daa4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-15T11:44:03Z",
    "title_canon_sha256": "e7f0c04ebb6b53d678488ae67f874d0d9dbb877cc20897b396ce2acd083be1b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04442",
    "kind": "arxiv",
    "version": 1
  }
}