Pith Number

pith:FRW7LWLR

pith:2012:FRW7LWLRKYLTNELSG4LHCFP5US

not attested not anchored not stored refs pending

Study of some semi-linear elliptic equation

Anouar Ben Mabrouk

arxiv:1212.5684 v1 · 2012-12-22 · 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{FRW7LWLRKYLTNELSG4LHCFP5US}

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	2026-05-18T01:31:12.080505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6df5d971561736917237167115fda4a123a4e463322314e22f9a2dd7157ac6

Aliases

arxiv: 1212.5684 · arxiv_version: 1212.5684v1 · doi: 10.48550/arxiv.1212.5684 · pith_short_12: FRW7LWLRKYLT · pith_short_16: FRW7LWLRKYLTNELS · pith_short_8: FRW7LWLR

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/FRW7LWLRKYLTNELSG4LHCFP5US \
  | 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: 2c6df5d971561736917237167115fda4a123a4e463322314e22f9a2dd7157ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380d1f60564e08108b77163cb38480e4f465710aeb6b0d163c8fb9911dd8fa6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-22T12:06:09Z",
    "title_canon_sha256": "6d35c874fe25a2253d32d0f8d5b0a6b4b28160400e6b43e63c4ebc8011049a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5684",
    "kind": "arxiv",
    "version": 1
  }
}