Pith Number

pith:3GS64XYT

pith:2015:3GS64XYTUKCDCLISCSN43XMOXK

not attested not anchored not stored refs pending

Nielsen periodic point theory on infra-nilmanifolds

Gert-Jan Dugardein

arxiv:1508.04345 v1 · 2015-08-18 · math.DS · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GS64XYTUKCDCLISCSN43XMOXK}

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	2026-05-18T01:35:05.571338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a5ee5f13a284312d12149bcddd8eba8021047bd12770dae7a70f53ab63f31f

Aliases

arxiv: 1508.04345 · arxiv_version: 1508.04345v1 · doi: 10.48550/arxiv.1508.04345 · pith_short_12: 3GS64XYTUKCD · pith_short_16: 3GS64XYTUKCDCLIS · pith_short_8: 3GS64XYT

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/3GS64XYTUKCDCLISCSN43XMOXK \
  | 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: d9a5ee5f13a284312d12149bcddd8eba8021047bd12770dae7a70f53ab63f31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491f31e971006beb3e43ffff724948780aaa632b1416f69efb2a5d486dd1ed8b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-18T15:15:27Z",
    "title_canon_sha256": "14cea469ddfe7805c045d1b86825c960d4534dea178c96f49ae89f0cea268db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04345",
    "kind": "arxiv",
    "version": 1
  }
}