Pith Number

pith:T2JR2V3Z

pith:2017:T2JR2V3Z3NRHS7D5NA5FYIWYA2

not attested not anchored not stored refs pending

Ergodic pairs for singular or degenerate fully nonlinear operators

Fabiana Leoni, Francoise Demengel, Isabeau Birindelli

arxiv:1712.02671 v1 · 2017-12-07 · 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{T2JR2V3Z3NRHS7D5NA5FYIWYA2}

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	2026-05-18T00:28:33.226595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e931d5779db62797c7d683a5c22d8069f6b3831902891df14fcc6258cf5db0a

Aliases

arxiv: 1712.02671 · arxiv_version: 1712.02671v1 · doi: 10.48550/arxiv.1712.02671 · pith_short_12: T2JR2V3Z3NRH · pith_short_16: T2JR2V3Z3NRHS7D5 · pith_short_8: T2JR2V3Z

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/T2JR2V3Z3NRHS7D5NA5FYIWYA2 \
  | 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: 9e931d5779db62797c7d683a5c22d8069f6b3831902891df14fcc6258cf5db0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea44811ea475eb3c2a2c737684dbb3cc5ae732c36069e3f1dcd864c0cbe81a53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-07T15:37:36Z",
    "title_canon_sha256": "154787ea916b3f5955deb8a096db3ae3319383814fce4bc6ff3f600cc74eb17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02671",
    "kind": "arxiv",
    "version": 1
  }
}