Pith Number

pith:H7D7KLUQ

pith:2011:H7D7KLUQ6BZR356DUPTVAYYHHT

not attested not anchored not stored refs pending

Minimal orbifolds and (a)symmetry of piecewise locally symmetric manifolds

T. Tam Nguyen Phan

arxiv:1110.0438 v2 · 2011-10-03 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7D7KLUQ6BZR356DUPTVAYYHHT}

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	2026-05-18T04:11:30.265128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc7f52e90f0731df7c3a3e75063073cc667f5a2878aad4d67cd66a0db1c89cd

Aliases

arxiv: 1110.0438 · arxiv_version: 1110.0438v2 · doi: 10.48550/arxiv.1110.0438 · pith_short_12: H7D7KLUQ6BZR · pith_short_16: H7D7KLUQ6BZR356D · pith_short_8: H7D7KLUQ

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/H7D7KLUQ6BZR356DUPTVAYYHHT \
  | 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: 3fc7f52e90f0731df7c3a3e75063073cc667f5a2878aad4d67cd66a0db1c89cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d648d0b473429a83f37fd0fd0071e3d5c770db61021056c5709c1159a3958a63",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-03T18:30:08Z",
    "title_canon_sha256": "54c958c06f5afd39b42ebc2cfa78b5eb87f9ccb6b182d2df634c4efeccd58d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0438",
    "kind": "arxiv",
    "version": 2
  }
}