Pith Number

pith:EYITJHCF

pith:2018:EYITJHCF3SAENF2KFA6DD2VF6P

not attested not anchored not stored refs pending

Balanced presentations for fundamental groups of curves over finite fields

Mark Shusterman

arxiv:1811.04192 v1 · 2018-11-10 · 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{EYITJHCF3SAENF2KFA6DD2VF6P}

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	2026-05-18T00:01:06.004535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2611349c45dc8046974a283c31eaa5f3db007934623c05eac16df036f1ccdcb8

Aliases

arxiv: 1811.04192 · arxiv_version: 1811.04192v1 · doi: 10.48550/arxiv.1811.04192 · pith_short_12: EYITJHCF3SAE · pith_short_16: EYITJHCF3SAENF2K · pith_short_8: EYITJHCF

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/EYITJHCF3SAENF2KFA6DD2VF6P \
  | 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: 2611349c45dc8046974a283c31eaa5f3db007934623c05eac16df036f1ccdcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4e2afb06d22cd8677e5dc3646b264b352557a08c11eec7cd7e0f2a1cf1905d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-10T04:14:11Z",
    "title_canon_sha256": "5c629c7cfe244a96934789ff80e8047d807a625f3117d68f456c9ac2533f3058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04192",
    "kind": "arxiv",
    "version": 1
  }
}