Pith Number

pith:JEK64E2K

pith:2015:JEK64E2KRC4FREXF2AA4AMT4SO

not attested not anchored not stored refs pending

Non-Archimedean Abelian Polish Groups and Their Actions

Longyun Ding, Su Gao

arxiv:1512.07677 v1 · 2015-12-24 · 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{JEK64E2KRC4FREXF2AA4AMT4SO}

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	2026-05-18T01:23:48.778096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4915ee134a88b85892e5d001c0327c93b5f1c3f409a2efa9f188325a8e8a21d6

Aliases

arxiv: 1512.07677 · arxiv_version: 1512.07677v1 · doi: 10.48550/arxiv.1512.07677 · pith_short_12: JEK64E2KRC4F · pith_short_16: JEK64E2KRC4FREXF · pith_short_8: JEK64E2K

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/JEK64E2KRC4FREXF2AA4AMT4SO \
  | 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: 4915ee134a88b85892e5d001c0327c93b5f1c3f409a2efa9f188325a8e8a21d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e8fefab2ca0b385ecce324a690ff7539ffd9327e4b4f7368cd1f7db1e6b71c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-24T01:21:03Z",
    "title_canon_sha256": "d611db90f8bd59155c79cb2c1b81662e2b3e1a387741bd1e82cfb435f82d43d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07677",
    "kind": "arxiv",
    "version": 1
  }
}