Pith Number

pith:X7MECBBB

pith:2014:X7MECBBBXZMF2UF2UMDXLEUGPZ

not attested not anchored not stored refs pending

Centralizers in good groups are good

Nathaniel Stapleton, Tobias Barthel

arxiv:1406.3272 v1 · 2014-06-12 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7MECBBBXZMF2UF2UMDXLEUGPZ}

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	2026-05-18T01:10:54.683772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfd8410421be585d50baa3077592867e5a6114a81c4593c10b4fba1a7111c98f

Aliases

arxiv: 1406.3272 · arxiv_version: 1406.3272v1 · doi: 10.48550/arxiv.1406.3272 · pith_short_12: X7MECBBBXZMF · pith_short_16: X7MECBBBXZMF2UF2 · pith_short_8: X7MECBBB

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/X7MECBBBXZMF2UF2UMDXLEUGPZ \
  | 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: bfd8410421be585d50baa3077592867e5a6114a81c4593c10b4fba1a7111c98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8906629657454ff099237983744581d4bad2754e973624cf77473ae7fae750",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-06-12T15:51:08Z",
    "title_canon_sha256": "c609e2301a5f6aec11a44f3772d79d0b0000ea0261f588803ed993f1c1e31250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3272",
    "kind": "arxiv",
    "version": 1
  }
}