Pith Number

pith:DOZRWWT4

pith:2010:DOZRWWT4UTLMSTFKCVAQMXJLJL

not attested not anchored not stored refs pending

Another definition of Euler class group of a Noetherian ring

Manoj K Keshari, Satya Mandal

arxiv:1010.5878 v1 · 2010-10-28 · 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{DOZRWWT4UTLMSTFKCVAQMXJLJL}

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	2026-05-18T02:45:29.174001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb31b5a7ca4d6c94caa1541065d2b4ae6cfbbc54241ea0543217242fd1e9da7

Aliases

arxiv: 1010.5878 · arxiv_version: 1010.5878v1 · doi: 10.48550/arxiv.1010.5878 · pith_short_12: DOZRWWT4UTLM · pith_short_16: DOZRWWT4UTLMSTFK · pith_short_8: DOZRWWT4

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/DOZRWWT4UTLMSTFKCVAQMXJLJL \
  | 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: 1bb31b5a7ca4d6c94caa1541065d2b4ae6cfbbc54241ea0543217242fd1e9da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398eb6b72d8af93cc669325cb527f52cbc4db64c08f8cf025ae47d6374caa400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-28T07:31:50Z",
    "title_canon_sha256": "c3518a246b08468e1c54e79cb5ca111204a659645c79735c54a82162843646e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5878",
    "kind": "arxiv",
    "version": 1
  }
}