Pith Number

pith:S57KUKXG

pith:2015:S57KUKXG3D2OTXJGZA42CJA4DL

not attested not anchored not stored refs pending

Curvature of higher direct image sheaves

Georg Schumacher, Thomas Geiger

arxiv:1501.07070 v1 · 2015-01-28 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S57KUKXG3D2OTXJGZA42CJA4DL}

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	2026-05-18T02:28:30.374688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977eaa2ae6d8f4e9dd26c839a1241c1af93936799bfddda8a7b71fb064af20a9

Aliases

arxiv: 1501.07070 · arxiv_version: 1501.07070v1 · doi: 10.48550/arxiv.1501.07070 · pith_short_12: S57KUKXG3D2O · pith_short_16: S57KUKXG3D2OTXJG · pith_short_8: S57KUKXG

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/S57KUKXG3D2OTXJGZA42CJA4DL \
  | 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: 977eaa2ae6d8f4e9dd26c839a1241c1af93936799bfddda8a7b71fb064af20a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf26abb5412b3ed4eaf26116508ec64141d761f7900f352966a43908e864947",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-28T11:39:33Z",
    "title_canon_sha256": "dcf86f9ed1e871ff830e16d64d4d685df41182f9765ded1529fd77793e90a962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07070",
    "kind": "arxiv",
    "version": 1
  }
}