Pith Number

pith:EOZL5BTI

pith:2017:EOZL5BTIDC2SQEIKXLBRABF2WA

not attested not anchored not stored refs pending

On Properties of Expansive Group Actions

Ali Barzanouni, Ekta Shah, Mahin Sadat Divandar

arxiv:1711.04448 v2 · 2017-11-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOZL5BTIDC2SQEIKXLBRABF2WA}

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	2026-05-18T00:09:30.325150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b2be866818b528110abac31004bab00386c631f738f180b7d80d9affdd1de5

Aliases

arxiv: 1711.04448 · arxiv_version: 1711.04448v2 · doi: 10.48550/arxiv.1711.04448 · pith_short_12: EOZL5BTIDC2S · pith_short_16: EOZL5BTIDC2SQEIK · pith_short_8: EOZL5BTI

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/EOZL5BTIDC2SQEIKXLBRABF2WA \
  | 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: 23b2be866818b528110abac31004bab00386c631f738f180b7d80d9affdd1de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb71cacbaa99ded824265ed41dab6b080e0f2177296226fa7408956145705645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-13T07:21:58Z",
    "title_canon_sha256": "1aa60293113aab387e8431f1ca26f9ae5f2a2d9854614d86884901e96d14a009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04448",
    "kind": "arxiv",
    "version": 2
  }
}