Pith Number

pith:SYKG3FO4

pith:2019:SYKG3FO4YMO767SCIWPQBQNBUK

not attested not anchored not stored refs pending

Reconstructing maps out of groups

Kathryn Mann, Maxime Wolff

arxiv:1907.03024 v1 · 2019-07-05 · math.DS · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYKG3FO4YMO767SCIWPQBQNBUK}

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	2026-05-17T23:41:19.124135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96146d95dcc31dff7e42459f00c1a1a28996d41dd965e1cd2d2db1547d12ef8f

Aliases

arxiv: 1907.03024 · arxiv_version: 1907.03024v1 · doi: 10.48550/arxiv.1907.03024 · pith_short_12: SYKG3FO4YMO7 · pith_short_16: SYKG3FO4YMO767SC · pith_short_8: SYKG3FO4

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/SYKG3FO4YMO767SCIWPQBQNBUK \
  | 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: 96146d95dcc31dff7e42459f00c1a1a28996d41dd965e1cd2d2db1547d12ef8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30398e7233d8cdd028de9ad38e77126b4e60c527109a04353a279880e874814d",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-05T21:03:09Z",
    "title_canon_sha256": "d9c1968e811239ecdbda2047c46353b7ab3ce6f7a2435ffda4acda9f7d04e34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03024",
    "kind": "arxiv",
    "version": 1
  }
}