Pith Number

pith:AU5HZKCF

pith:2011:AU5HZKCFPXB5CACI24WLTE45NK

not attested not anchored not stored refs pending

Poincar\'{e} Sobolev equations in the Hyperbolic space

K.Sandeep, Mousomi Bhakta

arxiv:1103.4779 v1 · 2011-03-24 · 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{AU5HZKCFPXB5CACI24WLTE45NK}

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	2026-05-18T03:49:12.061083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053a7ca8457dc3d10048d72cb9939d6a8242e481ec539d3c2cf186305df43bfd

Aliases

arxiv: 1103.4779 · arxiv_version: 1103.4779v1 · doi: 10.48550/arxiv.1103.4779 · pith_short_12: AU5HZKCFPXB5 · pith_short_16: AU5HZKCFPXB5CACI · pith_short_8: AU5HZKCF

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/AU5HZKCFPXB5CACI24WLTE45NK \
  | 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: 053a7ca8457dc3d10048d72cb9939d6a8242e481ec539d3c2cf186305df43bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2fc3aa13583b70f7809a73e0d1d80faa0484f77bf5e55e3fd1e312fb743d6fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-24T14:47:57Z",
    "title_canon_sha256": "e81fee8955c61fc1c52171809b10a00dc9636aaf8f58d33184130d6ab348ef8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4779",
    "kind": "arxiv",
    "version": 1
  }
}