Pith Number

pith:NF34KCAG

pith:2004:NF34KCAGFS45GI4KT4HUIBVD2L

not attested not anchored not stored refs pending

The Ambient Obstruction Tensor and Q-Curvature

C. Robin Graham, Kengo Hirachi

arxiv:math/0405068 v1 · 2004-05-05 · 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{NF34KCAGFS45GI4KT4HUIBVD2L}

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	2026-07-04T14:38:35.287497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6977c508062cb9d3238a9f0f4406a3d2ebd16061ea1f972b0d1ba268d7333619

Aliases

arxiv: math/0405068 · arxiv_version: math/0405068v1 · doi: 10.48550/arxiv.math/0405068 · pith_short_12: NF34KCAGFS45 · pith_short_16: NF34KCAGFS45GI4K · pith_short_8: NF34KCAG

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/NF34KCAGFS45GI4KT4HUIBVD2L \
  | 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: 6977c508062cb9d3238a9f0f4406a3d2ebd16061ea1f972b0d1ba268d7333619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439468bc933b71cb9129877d757dfec1a492caec7c04d3a640ae71320a264aba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-05-05T00:05:28Z",
    "title_canon_sha256": "e4e0fe6e468c41b4655b0cf560d76e9fcd29e41344e17f13bc50dce3dd04cecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405068",
    "kind": "arxiv",
    "version": 1
  }
}