Pith Number

pith:2C3A57A6

pith:2015:2C3A57A6R7AEWMN3YUTUKMGZ6A

not attested not anchored not stored refs pending

Strong theories of ordered abelian groups

Alfred Dolich, John Goodrick

arxiv:1511.08274 v3 · 2015-11-26 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2C3A57A6R7AEWMN3YUTUKMGZ6A}

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	2026-05-18T01:15:06.509625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b60efc1e8fc04b31bbc5274530d9f022afe6bcbfa3a1e88ac37b62186c6a19

Aliases

arxiv: 1511.08274 · arxiv_version: 1511.08274v3 · doi: 10.48550/arxiv.1511.08274 · pith_short_12: 2C3A57A6R7AE · pith_short_16: 2C3A57A6R7AEWMN3 · pith_short_8: 2C3A57A6

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/2C3A57A6R7AEWMN3YUTUKMGZ6A \
  | 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: d0b60efc1e8fc04b31bbc5274530d9f022afe6bcbfa3a1e88ac37b62186c6a19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1db5e0b8ab46d051fa00b3897b6c65cb93e37f090eba2ff3b29ad3fef32743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-26T02:40:35Z",
    "title_canon_sha256": "2112e508440225d9f738650655daef98d5ec11b9288821497ffd1401e3d9ad35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08274",
    "kind": "arxiv",
    "version": 3
  }
}