Pith Number

pith:5NOLXEFN

pith:2019:5NOLXEFNEEADAZ5F4ZQ7XAIZXZ

not attested not anchored not stored refs pending

Cohomological supports over derived complete intersections and local rings

Josh Pollitz

arxiv:1912.12009 v2 · 2019-12-27 · 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{5NOLXEFNEEADAZ5F4ZQ7XAIZXZ}

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	2026-07-05T02:15:22.106943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5cbb90ad21003067a5e661fb8119be54a46a1262f41d94d1e739f1f3f42be7

Aliases

arxiv: 1912.12009 · arxiv_version: 1912.12009v2 · doi: 10.48550/arxiv.1912.12009 · pith_short_12: 5NOLXEFNEEAD · pith_short_16: 5NOLXEFNEEADAZ5F · pith_short_8: 5NOLXEFN

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/5NOLXEFNEEADAZ5F4ZQ7XAIZXZ \
  | 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: eb5cbb90ad21003067a5e661fb8119be54a46a1262f41d94d1e739f1f3f42be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b387cc0f351839cb3730fa7a6bf36dcd01a76ff005763c105ceaf0dd8fb7ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-12-27T07:18:27Z",
    "title_canon_sha256": "acfa9c40e7442471fa703942a70eda7142ed042c345dc82bd1888a2da64d648e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12009",
    "kind": "arxiv",
    "version": 2
  }
}