Pith Number

pith:IOKKE7YM

pith:2013:IOKKE7YMJYHWRBY4TAARIBJGRQ

not attested not anchored not stored refs pending

Separating Invariants and Local Cohomology

Emilie Dufresne, Jack Jeffries

arxiv:1309.6012 v2 · 2013-09-24 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOKKE7YMJYHWRBY4TAARIBJGRQ}

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	2026-05-18T02:38:17.033084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4394a27f0c4e0f68871c98011405268c2415f097aed11056a5e4b5533725f4a7

Aliases

arxiv: 1309.6012 · arxiv_version: 1309.6012v2 · doi: 10.48550/arxiv.1309.6012 · pith_short_12: IOKKE7YMJYHW · pith_short_16: IOKKE7YMJYHWRBY4 · pith_short_8: IOKKE7YM

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/IOKKE7YMJYHWRBY4TAARIBJGRQ \
  | 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: 4394a27f0c4e0f68871c98011405268c2415f097aed11056a5e4b5533725f4a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fba5456f696ae4a22602706412659b2e35e3b971dc4d0245b171edfc07d0c5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-24T00:21:35Z",
    "title_canon_sha256": "a07ca13598001308d10f426e8c9a570cac9477a7f64019dd790940899f62a682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6012",
    "kind": "arxiv",
    "version": 2
  }
}