Pith Number

pith:POWANZD2

pith:2012:POWANZD25NEYCJMATSGQG5LO2W

not attested not anchored not stored refs pending

A GJMS construction for 2-tensors and the second variation of the total Q-curvature

Yoshihiko Matsumoto

arxiv:1202.3227 v2 · 2012-02-15 · 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{POWANZD25NEYCJMATSGQG5LO2W}

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	2026-05-18T01:22:26.886299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bac06e47aeb498125809c8d03756ed58ed4770b139bb908d4b682e33ce48380

Aliases

arxiv: 1202.3227 · arxiv_version: 1202.3227v2 · doi: 10.48550/arxiv.1202.3227 · pith_short_12: POWANZD25NEY · pith_short_16: POWANZD25NEYCJMA · pith_short_8: POWANZD2

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/POWANZD25NEYCJMATSGQG5LO2W \
  | 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: 7bac06e47aeb498125809c8d03756ed58ed4770b139bb908d4b682e33ce48380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea88543eded4e9a57152257d583ffcea05eadf1720efa5166699fbfcbdaaf54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-15T08:14:32Z",
    "title_canon_sha256": "4802e282b50a4772181f33d6aae7d60d9ed817344cfb3965212db5bf17f7b490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3227",
    "kind": "arxiv",
    "version": 2
  }
}