Pith Number

pith:52E3YLC5

pith:2011:52E3YLC5NFENTRZ4TOXWLFMGPN

not attested not anchored not stored refs pending

Decay estimates for Rivi\`ere's equation, with applications to regularity and compactness

Ben Sharp, Peter Topping

arxiv:1102.0713 v2 · 2011-02-03 · 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{52E3YLC5NFENTRZ4TOXWLFMGPN}

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	2026-05-18T04:25:12.797563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee89bc2c5d6948d9c73c9baf6595867b40253c29e5e35beb4be080ee68b28f30

Aliases

arxiv: 1102.0713 · arxiv_version: 1102.0713v2 · doi: 10.48550/arxiv.1102.0713 · pith_short_12: 52E3YLC5NFEN · pith_short_16: 52E3YLC5NFENTRZ4 · pith_short_8: 52E3YLC5

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/52E3YLC5NFENTRZ4TOXWLFMGPN \
  | 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: ee89bc2c5d6948d9c73c9baf6595867b40253c29e5e35beb4be080ee68b28f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63b837c3e69231efa0b8c1c049183fded871fd924e42272fc6681fc33d26041",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-03T15:56:35Z",
    "title_canon_sha256": "004de024437892ff770b05fc8d1214e578f0f827a89d4c369312515f2f9106a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0713",
    "kind": "arxiv",
    "version": 2
  }
}