Pith Number

pith:4BTS4YIQ

pith:2008:4BTS4YIQDF6NBYMM476D4LZOND

not attested not anchored not stored refs pending

Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices

Anne Thomas, Benson Farb, G. Christopher Hruska

arxiv:0803.2484 v2 · 2008-03-17 · 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{4BTS4YIQDF6NBYMM476D4LZOND}

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	2026-05-18T03:46:17.184276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0672e6110197cd0e18ce7fc3e2f2e68ca48fef56f58f5a3e0e1b2eb6ca895cd

Aliases

arxiv: 0803.2484 · arxiv_version: 0803.2484v2 · doi: 10.48550/arxiv.0803.2484 · pith_short_12: 4BTS4YIQDF6N · pith_short_16: 4BTS4YIQDF6NBYMM · pith_short_8: 4BTS4YIQ

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/4BTS4YIQDF6NBYMM476D4LZOND \
  | 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: e0672e6110197cd0e18ce7fc3e2f2e68ca48fef56f58f5a3e0e1b2eb6ca895cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34f64f998ccf1ae5c343cdc30a95c77e688722396d03c6b1900520c88e26f503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-03-17T16:59:58Z",
    "title_canon_sha256": "09146ac481792ad06626a75490b0b0cb32a7bd9b0d0536bb36338d80a6318952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2484",
    "kind": "arxiv",
    "version": 2
  }
}