Pith Number

pith:XADQZHUG

pith:2003:XADQZHUG5WBCCRFSZLSWQCTQ76

not attested not anchored not stored refs pending

On the vanishing of Tor of the absolute integral closure

Hans Schoutens

arxiv:math/0304051 v1 · 2003-04-03 · 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{XADQZHUG5WBCCRFSZLSWQCTQ76}

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	2026-05-18T02:44:09.069111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8070c9e86ed822144b2cae5680a70ff9bf6e0a25297e45c6c8a84bc863fa8c5

Aliases

arxiv: math/0304051 · arxiv_version: math/0304051v1 · doi: 10.48550/arxiv.math/0304051 · pith_short_12: XADQZHUG5WBC · pith_short_16: XADQZHUG5WBCCRFS · pith_short_8: XADQZHUG

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/XADQZHUG5WBCCRFSZLSWQCTQ76 \
  | 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: b8070c9e86ed822144b2cae5680a70ff9bf6e0a25297e45c6c8a84bc863fa8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3d2d38e4cd344b4486f95a3bc160429c0a5d3f1cc6982073184343422b286e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2003-04-03T22:07:04Z",
    "title_canon_sha256": "f4d98bcda6d343847b8130e7a7bbd74b8444d0b6af6f912bd2a10f87e0d177e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304051",
    "kind": "arxiv",
    "version": 1
  }
}