Pith Number

pith:4RPKVYDV

pith:2014:4RPKVYDV7UTVJS67EAG4H4N4QU

not attested not anchored not stored refs pending

A sheaf-theoretic perspective on sampling

Michael Robinson

arxiv:1405.0324 v1 · 2014-05-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RPKVYDV7UTVJS67EAG4H4N4QU}

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	2026-05-18T02:52:48.214650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45eaae075fd2754cbdf200dc3f1bc8524d4a7bba8b8e4c0421599289e832873

Aliases

arxiv: 1405.0324 · arxiv_version: 1405.0324v1 · doi: 10.48550/arxiv.1405.0324 · pith_short_12: 4RPKVYDV7UTV · pith_short_16: 4RPKVYDV7UTVJS67 · pith_short_8: 4RPKVYDV

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/4RPKVYDV7UTVJS67EAG4H4N4QU \
  | 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: e45eaae075fd2754cbdf200dc3f1bc8524d4a7bba8b8e4c0421599289e832873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "873d9eba8b8124d024b09227a58d2fdb281aa2c0eab64dfe64cb27183d6196ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-01T23:47:51Z",
    "title_canon_sha256": "e0a41f5a691979769e91240611801fc62c7c602c632faa3fefc0a8a3a7e44bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0324",
    "kind": "arxiv",
    "version": 1
  }
}