Pith Number

pith:M6HOQGNR

pith:2016:M6HOQGNRJS32CH55C6QUXTUHCN

not attested not anchored not stored refs pending

A Users' Guide to Infra-nilmanifolds and Almost-Bieberbach groups

Karel Dekimpe

arxiv:1603.07654 v2 · 2016-03-24 · 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{M6HOQGNRJS32CH55C6QUXTUHCN}

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	2026-05-18T00:47:37.034172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678ee819b14cb7a11fbd17a14bce87136cb98ead8bec320b3f3678b0a80b62bc

Aliases

arxiv: 1603.07654 · arxiv_version: 1603.07654v2 · doi: 10.48550/arxiv.1603.07654 · pith_short_12: M6HOQGNRJS32 · pith_short_16: M6HOQGNRJS32CH55 · pith_short_8: M6HOQGNR

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/M6HOQGNRJS32CH55C6QUXTUHCN \
  | 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: 678ee819b14cb7a11fbd17a14bce87136cb98ead8bec320b3f3678b0a80b62bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c447cdce036cf058857b406e9195ce2130169af4579c8b0a2ff99db4616e798c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-03-24T16:48:10Z",
    "title_canon_sha256": "fd40bda3a2a810eaa7027452ec98049befb94c7f931d8c1fb374539b47551417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07654",
    "kind": "arxiv",
    "version": 2
  }
}