Pith Number

pith:HEY663KC

pith:2015:HEY663KCX7K27KB326R4TU6NEV

not attested not anchored not stored refs pending

The two-jet of the curvature tensor of an Einstein manifold

Tillmann Jentsch

arxiv:1512.04046 v1 · 2015-12-13 · 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{HEY663KCX7K27KB326R4TU6NEV}

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	2026-05-18T01:24:23.259332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3931ef6d42bfd5afa83bd7a3c9d3cd25777b071f80da7447d4975eca1ea8308a

Aliases

arxiv: 1512.04046 · arxiv_version: 1512.04046v1 · doi: 10.48550/arxiv.1512.04046 · pith_short_12: HEY663KCX7K2 · pith_short_16: HEY663KCX7K27KB3 · pith_short_8: HEY663KC

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/HEY663KCX7K27KB326R4TU6NEV \
  | 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: 3931ef6d42bfd5afa83bd7a3c9d3cd25777b071f80da7447d4975eca1ea8308a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78552b8cc07586e3b9f65546e07e6936d2a476ef326459f3f588d66aa6313d86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-13T12:42:34Z",
    "title_canon_sha256": "e375879e2d01f6fc8188c195fff70f02ff5c506532c8a88161843893c48fc508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04046",
    "kind": "arxiv",
    "version": 1
  }
}