Pith Number

pith:3B6PPW2S

pith:2014:3B6PPW2S7LADRO2ZX4VLGJ2RZA

not attested not anchored not stored refs pending

Absolute Integral Closure

Craig Huneke

arxiv:1409.0441 v1 · 2014-09-01 · 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{3B6PPW2S7LADRO2ZX4VLGJ2RZA}

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	2026-05-18T02:43:52.753969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87cf7db52fac038bb59bf2ab32751c829bbb3ca6ec9b3f9930fb7fb297127af

Aliases

arxiv: 1409.0441 · arxiv_version: 1409.0441v1 · doi: 10.48550/arxiv.1409.0441 · pith_short_12: 3B6PPW2S7LAD · pith_short_16: 3B6PPW2S7LADRO2Z · pith_short_8: 3B6PPW2S

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/3B6PPW2S7LADRO2ZX4VLGJ2RZA \
  | 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: d87cf7db52fac038bb59bf2ab32751c829bbb3ca6ec9b3f9930fb7fb297127af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0454f8e19ccc1ce329283f48409ede06ed0f99f1dd7c9c502b439cf4c0613970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-01T14:55:50Z",
    "title_canon_sha256": "c5e29ae3e4ffd5d7144d3f2745f04194b8c0a7a6d391302ed17ece7795b82673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0441",
    "kind": "arxiv",
    "version": 1
  }
}