Pith Number

pith:XYKKFHLV

pith:2016:XYKKFHLVKZCWKB7H5Z5SNNV7KE

not attested not anchored not stored refs pending

The Grauert--Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski

Hessel B. Posthuma, Markus J. Pflaum, Xiang Tang

arxiv:1605.06105 v1 · 2016-05-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYKKFHLVKZCWKB7H5Z5SNNV7KE}

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	2026-05-18T01:14:26.496082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be14a29d7556456507e7ee7b26b6bf510782547b4bf916539030f3a7f1956c90

Aliases

arxiv: 1605.06105 · arxiv_version: 1605.06105v1 · doi: 10.48550/arxiv.1605.06105 · pith_short_12: XYKKFHLVKZCW · pith_short_16: XYKKFHLVKZCWKB7H · pith_short_8: XYKKFHLV

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/XYKKFHLVKZCWKB7H5Z5SNNV7KE \
  | 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: be14a29d7556456507e7ee7b26b6bf510782547b4bf916539030f3a7f1956c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4771e943596f0a57f032a2e361a8e50fd4eefb05bf0accfed3899940d5e528b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-19T19:56:20Z",
    "title_canon_sha256": "8fb822ad80307b6a30ff8f3e9b6d58f845a1775482e8f6bb4cad3be12052242b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06105",
    "kind": "arxiv",
    "version": 1
  }
}