Pith Number

pith:GDDYCFYR

pith:2011:GDDYCFYRQDWUL7RKYZEJAIJQIX

not attested not anchored not stored refs pending

On cohomology of crystallographic groups with cyclic holonomy of split type

Bartosz Putrycz, Nansen Petrosyan

arxiv:1106.4216 v2 · 2011-06-21 · math.AT · 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{GDDYCFYRQDWUL7RKYZEJAIJQIX}

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	2026-05-18T04:19:33.183817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c781171180ed45fe2ac64890213045fb6d2f5fd3ac1d00a2521e5cc00b1bc1

Aliases

arxiv: 1106.4216 · arxiv_version: 1106.4216v2 · doi: 10.48550/arxiv.1106.4216 · pith_short_12: GDDYCFYRQDWU · pith_short_16: GDDYCFYRQDWUL7RK · pith_short_8: GDDYCFYR

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/GDDYCFYRQDWUL7RKYZEJAIJQIX \
  | 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: 30c781171180ed45fe2ac64890213045fb6d2f5fd3ac1d00a2521e5cc00b1bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c2a6ba869a7b9de471e8e8c8758b5d9a3b91131c42abfce3e8b92f6bc7f6ae",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-21T14:28:37Z",
    "title_canon_sha256": "80835023a6e8f98920f422c3346eaef2dbefa0ab93fe7497ad1b3d20e6fa6a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4216",
    "kind": "arxiv",
    "version": 2
  }
}