Pith Number

pith:3VSAHLBS

pith:2015:3VSAHLBSZCPM7JXUHGY63KAEPP

not attested not anchored not stored refs pending

Biharmonic equation with singular nonlinearity

G. Warnault, J. Giacomoni, S. Prashanth

arxiv:1511.03948 v1 · 2015-11-12 · 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{3VSAHLBSZCPM7JXUHGY63KAEPP}

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	2026-05-18T01:27:06.380741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6403ac32c89ecfa6f439b1eda8047bcb0c3226edcfca67680c948d167aeeae

Aliases

arxiv: 1511.03948 · arxiv_version: 1511.03948v1 · doi: 10.48550/arxiv.1511.03948 · pith_short_12: 3VSAHLBSZCPM · pith_short_16: 3VSAHLBSZCPM7JXU · pith_short_8: 3VSAHLBS

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/3VSAHLBSZCPM7JXUHGY63KAEPP \
  | 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: dd6403ac32c89ecfa6f439b1eda8047bcb0c3226edcfca67680c948d167aeeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86854ac151ed9d83ae2ca032d729ea84d2672cd09ca6fc47491ce599b49c864f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-12T16:26:14Z",
    "title_canon_sha256": "41fe648df200982ee54c31b7823f95702d1960d11a73d18454694c0a20cd96b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03948",
    "kind": "arxiv",
    "version": 1
  }
}