Pith Number

pith:OSBGTNJT

pith:2008:OSBGTNJTNS7CFH5P4ZLCDGTSJN

not attested not anchored not stored refs pending

Fibered orbifolds and crystallographic groups

John G. Ratcliffe, Steven T. Tschantz

arxiv:0804.0427 v2 · 2008-04-02 · math.GT · 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{OSBGTNJTNS7CFH5P4ZLCDGTSJN}

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	2026-05-18T01:22:31.105176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748269b5336cbe229fafe656219a724b705da7d122443053c89538929737e86a

Aliases

arxiv: 0804.0427 · arxiv_version: 0804.0427v2 · doi: 10.48550/arxiv.0804.0427 · pith_short_12: OSBGTNJTNS7C · pith_short_16: OSBGTNJTNS7CFH5P · pith_short_8: OSBGTNJT

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/OSBGTNJTNS7CFH5P4ZLCDGTSJN \
  | 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: 748269b5336cbe229fafe656219a724b705da7d122443053c89538929737e86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c37c83435c12053a0b15c0a4b1a03bccf459344b5a20d0cb65f49d8e04781b2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-02T20:14:53Z",
    "title_canon_sha256": "19c65004e62cfadb3220d2ac7bb75de3c37bc9cb64ca6b2699e0f132fcc3871e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0427",
    "kind": "arxiv",
    "version": 2
  }
}