Pith Number

pith:HAUR7FN3

pith:2016:HAUR7FN3MR2YCCCIR6I3JBH5OP

not attested not anchored not stored refs pending

A Generalized Axis Theorem for Cube Complexes

Daniel J. Woodhouse

arxiv:1602.01952 v2 · 2016-02-05 · 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{HAUR7FN3MR2YCCCIR6I3JBH5OP}

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	2026-05-18T00:20:59.837967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38291f95bb64758108488f91b484fd73e810b9ef8b0d23810362aff6fc26697c

Aliases

arxiv: 1602.01952 · arxiv_version: 1602.01952v2 · doi: 10.48550/arxiv.1602.01952 · pith_short_12: HAUR7FN3MR2Y · pith_short_16: HAUR7FN3MR2YCCCI · pith_short_8: HAUR7FN3

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/HAUR7FN3MR2YCCCIR6I3JBH5OP \
  | 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: 38291f95bb64758108488f91b484fd73e810b9ef8b0d23810362aff6fc26697c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29636cf497241aa627baa685af791dfe7e3be2b22d0225fd72843877d7d47f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-05T08:29:41Z",
    "title_canon_sha256": "a9c658c31126bbb33c510e9e302f3449ee7c26a849a8632a3a08d7aead62b6cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01952",
    "kind": "arxiv",
    "version": 2
  }
}