Pith Number

pith:DESVXCJR

pith:2014:DESVXCJRSQ5QKONTSEJICA75F5

not attested not anchored not stored refs pending

Cubulating hyperbolic free-by-cyclic groups: the general case

Daniel T. Wise, Mark F. Hagen

arxiv:1406.3292 v2 · 2014-06-12 · 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{DESVXCJRSQ5QKONTSEJICA75F5}

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	2026-05-18T01:13:38.348267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19255b8931943b0539b391128103fd2f790745e74812031cb0d7a0a9ae4e492b

Aliases

arxiv: 1406.3292 · arxiv_version: 1406.3292v2 · doi: 10.48550/arxiv.1406.3292 · pith_short_12: DESVXCJRSQ5Q · pith_short_16: DESVXCJRSQ5QKONT · pith_short_8: DESVXCJR

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/DESVXCJRSQ5QKONTSEJICA75F5 \
  | 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: 19255b8931943b0539b391128103fd2f790745e74812031cb0d7a0a9ae4e492b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597a23caa852036a6f1b083a7e8861c6073a95434a786f98099dfb6e39d7a981",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-12T17:21:46Z",
    "title_canon_sha256": "66b78db9ca5ec5d13fcfe841e09037970d9636d23133899678fe5ca7c7e21574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3292",
    "kind": "arxiv",
    "version": 2
  }
}