Pith Number

pith:57EKIA7F

pith:2014:57EKIA7F7EHCFF4UVZU5XJUE7Y

not attested not anchored not stored refs pending

Approximation of sheaves on algebraic stacks

David Rydh

arxiv:1408.6698 v3 · 2014-08-28 · 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{57EKIA7F7EHCFF4UVZU5XJUE7Y}

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	2026-05-18T01:06:41.216110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc8a403e5f90e229794ae69dba684fe2d8687e3cd0a08d5c06b84f2d05c2021

Aliases

arxiv: 1408.6698 · arxiv_version: 1408.6698v3 · doi: 10.48550/arxiv.1408.6698 · pith_short_12: 57EKIA7F7EHC · pith_short_16: 57EKIA7F7EHCFF4U · pith_short_8: 57EKIA7F

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/57EKIA7F7EHCFF4UVZU5XJUE7Y \
  | 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: efc8a403e5f90e229794ae69dba684fe2d8687e3cd0a08d5c06b84f2d05c2021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bea6f89abeb38e4591dab42a72c3e53e3ee0af9246437eaf8f3efbbe4162cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-28T12:17:10Z",
    "title_canon_sha256": "0ffe1690efb5af41670f3193ec7f24a36413d67332bdb6610ff82f9df90c0b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6698",
    "kind": "arxiv",
    "version": 3
  }
}