Pith Number

pith:Z5AWX4E2

pith:2015:Z5AWX4E2BWZHSYBQ5CD5G2HW5Y

not attested not anchored not stored refs pending

Envelopes and covers for groups

Jose L. Rodriguez, Sergio Estrada

arxiv:1504.03000 v2 · 2015-04-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5AWX4E2BWZHSYBQ5CD5G2HW5Y}

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	2026-05-18T01:06:22.921291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf416bf09a0db2796030e887d368f6ee332cb86853ea8420a257a81cc25c12fb

Aliases

arxiv: 1504.03000 · arxiv_version: 1504.03000v2 · doi: 10.48550/arxiv.1504.03000 · pith_short_12: Z5AWX4E2BWZH · pith_short_16: Z5AWX4E2BWZHSYBQ · pith_short_8: Z5AWX4E2

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/Z5AWX4E2BWZHSYBQ5CD5G2HW5Y \
  | 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: cf416bf09a0db2796030e887d368f6ee332cb86853ea8420a257a81cc25c12fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80d100ac1849012681b8ba93d0764489651b2e76b15cc3e8dc630f5a8436730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-12T18:33:50Z",
    "title_canon_sha256": "ebca6cccb702cfeecb534d78a42695320d38e019925f8ac083c7df9fc5327307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03000",
    "kind": "arxiv",
    "version": 2
  }
}