Pith Number

pith:LN3ZOH6T

pith:2017:LN3ZOH6TEHO7GJMJHQFZ4IXVXM

not attested not anchored not stored refs pending

The two membranes problem for fully nonlinear operators

Hernan Vivas, Luis Caffarelli, Luis Duque

arxiv:1708.09420 v3 · 2017-08-30 · 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{LN3ZOH6TEHO7GJMJHQFZ4IXVXM}

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	2026-05-18T00:19:41.943526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b77971fd321ddf325893c0b9e22f5bb11ef6f05c4003d32cb7e278627c8bb4f

Aliases

arxiv: 1708.09420 · arxiv_version: 1708.09420v3 · doi: 10.48550/arxiv.1708.09420 · pith_short_12: LN3ZOH6TEHO7 · pith_short_16: LN3ZOH6TEHO7GJMJ · pith_short_8: LN3ZOH6T

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/LN3ZOH6TEHO7GJMJHQFZ4IXVXM \
  | 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: 5b77971fd321ddf325893c0b9e22f5bb11ef6f05c4003d32cb7e278627c8bb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fae03e5b734a5ec96ac0b8a86c7dae04319cd7fe441e0014a99faedfda0057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-30T18:26:01Z",
    "title_canon_sha256": "746a97fc8034fc782a99efbb4b3d1f81c21e0646f52e42ed961039bce7790a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09420",
    "kind": "arxiv",
    "version": 3
  }
}