Pith Number

pith:NLQCDLKI

pith:2007:NLQCDLKISHWWIL6XUEGB55ITJG

not attested not anchored not stored refs pending

Generators and relations for the etale fundamental group

Martin Olsson, Max Lieblich

arxiv:math/0703139 v3 · 2007-03-06 · math.AG · 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{NLQCDLKISHWWIL6XUEGB55ITJG}

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	2026-05-18T00:13:08.501509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae021ad4891ed642fd7a10c1ef51349ba3c7a26d77b386f3c259b2f78ebb37b

Aliases

arxiv: math/0703139 · arxiv_version: math/0703139v3 · doi: 10.48550/arxiv.math/0703139 · pith_short_12: NLQCDLKISHWW · pith_short_16: NLQCDLKISHWWIL6X · pith_short_8: NLQCDLKI

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/NLQCDLKISHWWIL6XUEGB55ITJG \
  | 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: 6ae021ad4891ed642fd7a10c1ef51349ba3c7a26d77b386f3c259b2f78ebb37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c5a3da8b0ca35e4f970702ef0643d060a108dbb9f6402bb026d4404cde1662",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-06T00:43:52Z",
    "title_canon_sha256": "1423a08d6f635c8ad76e5e2ba0a6f68ea0356089c48fde7e47f4ed908d84a0e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703139",
    "kind": "arxiv",
    "version": 3
  }
}