Pith Number

pith:3DA4H7Z3

pith:2011:3DA4H7Z3VO2MK7NVWO5DVSSJY7

not attested not anchored not stored refs pending

A Schreier Domain Type Condition

Mihai Epure, Tiberiu Dumitrescu, Zaheer Ahmad

arxiv:1112.0132 v1 · 2011-12-01 · 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{3DA4H7Z3VO2MK7NVWO5DVSSJY7}

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	2026-05-18T04:07:16.861577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c1c3ff3babb4c57db5b3ba3aca49c7d05284fff9295f2eb908a69e84baf7a8

Aliases

arxiv: 1112.0132 · arxiv_version: 1112.0132v1 · doi: 10.48550/arxiv.1112.0132 · pith_short_12: 3DA4H7Z3VO2M · pith_short_16: 3DA4H7Z3VO2MK7NV · pith_short_8: 3DA4H7Z3

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/3DA4H7Z3VO2MK7NVWO5DVSSJY7 \
  | 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: d8c1c3ff3babb4c57db5b3ba3aca49c7d05284fff9295f2eb908a69e84baf7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9223893924d7bc8d0cf2bed8d65d2c35b60a477bbd03f93337016aec1fdb223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-01T10:42:04Z",
    "title_canon_sha256": "fe93b957a74e43ada4c693a7c738ce167c54cb04eb746586f877788a4da87afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0132",
    "kind": "arxiv",
    "version": 1
  }
}