Pith Number

pith:RDNYZX22

pith:2012:RDNYZX22FKZ3W3YGV7N377HQRE

not attested not anchored not stored refs pending

Bifurcation along curves for the p-Laplacian with radial symmetry

Fran\c{c}ois Genoud

arxiv:1202.4654 v2 · 2012-02-21 · 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{RDNYZX22FKZ3W3YGV7N377HQRE}

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	2026-05-18T03:40:25.702222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88db8cdf5a2ab3bb6f06afdbbffcf08923d95a3f8ed12fce4e096f6dce9ab1d6

Aliases

arxiv: 1202.4654 · arxiv_version: 1202.4654v2 · doi: 10.48550/arxiv.1202.4654 · pith_short_12: RDNYZX22FKZ3 · pith_short_16: RDNYZX22FKZ3W3YG · pith_short_8: RDNYZX22

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/RDNYZX22FKZ3W3YGV7N377HQRE \
  | 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: 88db8cdf5a2ab3bb6f06afdbbffcf08923d95a3f8ed12fce4e096f6dce9ab1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb83350b81268ed1d89f455a38a179091927a627087e94bcf5234ba65244e82b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-21T14:51:14Z",
    "title_canon_sha256": "76fe7c018d20f874415f14fbc2c432ac8cefdc65b7f2079808712b420d5835a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4654",
    "kind": "arxiv",
    "version": 2
  }
}