Pith Number

pith:3CIJIL6C

pith:2020:3CIJIL6CIUQNLBVR4WG55FWHWY

not attested not anchored not stored refs pending

A topos-theoretic view of difference algebra

Ivan Tomasic

arxiv:2001.09075 v1 · 2020-01-24 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CIJIL6CIUQNLBVR4WG55FWHWY}

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.

Cited by

1 paper in Pith

Locales in presheaf toposes vs. presheaves of locales

Receipt and verification

First computed	2026-07-05T00:35:39.319652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d890942fc24520d586b1e58dde96c7b63ddcf62f641f70537328ea89b009a3e0

Aliases

arxiv: 2001.09075 · arxiv_version: 2001.09075v1 · doi: 10.48550/arxiv.2001.09075 · pith_short_12: 3CIJIL6CIUQN · pith_short_16: 3CIJIL6CIUQNLBVR · pith_short_8: 3CIJIL6C

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/3CIJIL6CIUQNLBVR4WG55FWHWY \
  | 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: d890942fc24520d586b1e58dde96c7b63ddcf62f641f70537328ea89b009a3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15e5d1b8a20a0b80919f15786e470be18f00db33c866144effd2daace129c37",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-01-24T16:25:43Z",
    "title_canon_sha256": "342191ff75e316ec22c6694bc4333d344ef2f7b701cff377b7b79fc273570065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.09075",
    "kind": "arxiv",
    "version": 1
  }
}