Pith Number

pith:N5TMRCYH

pith:2011:N5TMRCYHDYTBPM5D2RA5YL23WC

not attested not anchored not stored refs pending

Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials

Mousomi Bhakta, Roberta Musina

arxiv:1112.0154 v1 · 2011-12-01 · 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{N5TMRCYHDYTBPM5D2RA5YL23WC}

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	2026-05-18T02:20:11.119118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f66c88b071e2617b3a3d441dc2f5bb0ab8aea3f714c418fb0369998bd86840e

Aliases

arxiv: 1112.0154 · arxiv_version: 1112.0154v1 · doi: 10.48550/arxiv.1112.0154 · pith_short_12: N5TMRCYHDYTB · pith_short_16: N5TMRCYHDYTBPM5D · pith_short_8: N5TMRCYH

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/N5TMRCYHDYTBPM5D2RA5YL23WC \
  | 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: 6f66c88b071e2617b3a3d441dc2f5bb0ab8aea3f714c418fb0369998bd86840e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec4ca5fbfc3b6f7f39c90f01bfaee7a0f98fad5a52595e4704cfa85a6f2e8fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-01T12:23:29Z",
    "title_canon_sha256": "539e9de8994e64df74ae1b41ffbcc89a3c3944eb4b7af261f6b3d6b8797343bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0154",
    "kind": "arxiv",
    "version": 1
  }
}