Pith Number

pith:ILRNCDKN

pith:2017:ILRNCDKNX55KT2SQBECQ42NHXN

not attested not anchored not stored refs pending

Descending chains of semistar operations

Andrew Walker, Hyun Seung Choi, Timothy McEldowney

arxiv:1711.05399 v1 · 2017-11-15 · 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{ILRNCDKNX55KT2SQBECQ42NHXN}

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	2026-05-18T00:30:33.378855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e2d10d4dbf7aa9ea5009050e69a7bb53f2895a249b16acf1608554b5a919f4

Aliases

arxiv: 1711.05399 · arxiv_version: 1711.05399v1 · doi: 10.48550/arxiv.1711.05399 · pith_short_12: ILRNCDKNX55K · pith_short_16: ILRNCDKNX55KT2SQ · pith_short_8: ILRNCDKN

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/ILRNCDKNX55KT2SQBECQ42NHXN \
  | 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: 42e2d10d4dbf7aa9ea5009050e69a7bb53f2895a249b16acf1608554b5a919f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d79a9cc5ffb0a1d81e8cae11dbbb4dde8334ffb1be4b2a53a657742625928dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-11-15T04:08:34Z",
    "title_canon_sha256": "e07690207c7ff1a02189bbf5ec62cddab45705d4a7fcbf0c69e7b804294c3eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05399",
    "kind": "arxiv",
    "version": 1
  }
}