Pith Number

pith:GHJX45ZN

pith:2010:GHJX45ZNCC3FSFGGC6Y6E32KJQ

not attested not anchored not stored refs pending

Subgroups of profinite surface groups

Katherine F. Stevenson, Lior Bary-Soroker, Pavel Zalesskii

arxiv:1011.1419 v1 · 2010-11-05 · 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{GHJX45ZNCC3FSFGGC6Y6E32KJQ}

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	2026-05-18T04:36:51.676185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d37e772d10b65914c617b1e26f4a4c2cbabd33a4ef23388b18ce1ad685525b

Aliases

arxiv: 1011.1419 · arxiv_version: 1011.1419v1 · doi: 10.48550/arxiv.1011.1419 · pith_short_12: GHJX45ZNCC3F · pith_short_16: GHJX45ZNCC3FSFGG · pith_short_8: GHJX45ZN

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/GHJX45ZNCC3FSFGGC6Y6E32KJQ \
  | 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: 31d37e772d10b65914c617b1e26f4a4c2cbabd33a4ef23388b18ce1ad685525b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f21c5ef9309c84d7ca01872830dbae57425307f0e0ce9b6b188034de67b6c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-05T15:00:56Z",
    "title_canon_sha256": "d076866afa0c9ceb0ba16f4f4a33cffb282d406225d460b13ac71083ae43e5e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1419",
    "kind": "arxiv",
    "version": 1
  }
}