Pith Number

pith:K257UJ2Q

pith:2012:K257UJ2QSPTSICIUIP2TMYSQWP

not attested not anchored not stored refs pending

Juhl's Formulae for GJMS Operators and Q-Curvatures

Charles Fefferman, C. Robin Graham

arxiv:1203.0360 v1 · 2012-03-02 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K257UJ2QSPTSICIUIP2TMYSQWP}

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	2026-05-18T04:01:01.070798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bbfa275093e724091443f5366250b3c1aa2c62c76de5ae22bb193c4b72b514

Aliases

arxiv: 1203.0360 · arxiv_version: 1203.0360v1 · doi: 10.48550/arxiv.1203.0360 · pith_short_12: K257UJ2QSPTS · pith_short_16: K257UJ2QSPTSICIU · pith_short_8: K257UJ2Q

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/K257UJ2QSPTSICIUIP2TMYSQWP \
  | 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: 56bbfa275093e724091443f5366250b3c1aa2c62c76de5ae22bb193c4b72b514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5eb43e836f9d28f0d609286d8e00a2f273efaa0e1c1c544e6309b41d1244bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-02T03:30:03Z",
    "title_canon_sha256": "388d25ae33477c1e243ae785a9705e0edb80c49b2304d50eaa4a7a6f5af1348f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0360",
    "kind": "arxiv",
    "version": 1
  }
}