Pith Number

pith:X6AXZDP2

pith:2017:X6AXZDP2OKOMHJF2WCPRHFZ5BK

not attested not anchored not stored refs pending

Finiteness of \'etale fundamental groups by reduction modulo $p$

Bhargav Bhatt, Martin Olsson, Ofer Gabber

arxiv:1705.07303 v1 · 2017-05-20 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6AXZDP2OKOMHJF2WCPRHFZ5BK}

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	2026-05-18T00:44:06.001827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf817c8dfa729cc3a4bab09f13973d0aa77ada8fa323253c1d7c37ae1bac6ac3

Aliases

arxiv: 1705.07303 · arxiv_version: 1705.07303v1 · doi: 10.48550/arxiv.1705.07303 · pith_short_12: X6AXZDP2OKOM · pith_short_16: X6AXZDP2OKOMHJF2 · pith_short_8: X6AXZDP2

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/X6AXZDP2OKOMHJF2WCPRHFZ5BK \
  | 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: bf817c8dfa729cc3a4bab09f13973d0aa77ada8fa323253c1d7c37ae1bac6ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9abd9a326c2fecbe1ae5099a699aa74952b951bd59a4f25077049389ec2fe663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-20T13:35:54Z",
    "title_canon_sha256": "8f4fda017b5f9c6d0c1ae0b1d20311e82c00b94061e20d51a5b68d8b431dded1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07303",
    "kind": "arxiv",
    "version": 1
  }
}