Pith Number

pith:S25P43HX

pith:2015:S25P43HX7IDP3RLRTVPYAYK7LO

not attested not anchored not stored refs pending

The fundamental group as the structure of a dually affine space

Eraldo Giuli, Walter Tholen

arxiv:1511.02905 v1 · 2015-11-09 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S25P43HX7IDP3RLRTVPYAYK7LO}

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	2026-05-18T01:27:17.486371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96bafe6cf7fa06fdc5719d5f80615f5b8e0e5c9d8cd57680f995532cf44cf695

Aliases

arxiv: 1511.02905 · arxiv_version: 1511.02905v1 · doi: 10.48550/arxiv.1511.02905 · pith_short_12: S25P43HX7IDP · pith_short_16: S25P43HX7IDP3RLR · pith_short_8: S25P43HX

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/S25P43HX7IDP3RLRTVPYAYK7LO \
  | 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: 96bafe6cf7fa06fdc5719d5f80615f5b8e0e5c9d8cd57680f995532cf44cf695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b576636b49383f0fba44f6a92d5a96ebd9a2e109c9270618ee0efef95f66886f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-11-09T21:53:23Z",
    "title_canon_sha256": "1af01d163cf52a8750318013b00a85e9fc0c6524c0f0451626461ab040d2c9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02905",
    "kind": "arxiv",
    "version": 1
  }
}