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Pith Number

pith:RPTBB22W

pith:2014:RPTBB22WDZF2NAZN4N6JXR4GJD
not attested not anchored not stored refs pending

Virtual Geometricity is Rare

Christopher H. Cashen, Jason F. Manning

arxiv:1407.7834 v3 · 2014-07-29 · math.GR · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RPTBB22WDZF2NAZN4N6JXR4GJD}

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 2026-05-17T23:53:14.265002Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8be610eb561e4ba6832de37c9bc78648cf32f93632d486eb16587ce24d4134da

Aliases

arxiv: 1407.7834 · arxiv_version: 1407.7834v3 · doi: 10.48550/arxiv.1407.7834 · pith_short_12: RPTBB22WDZF2 · pith_short_16: RPTBB22WDZF2NAZN · pith_short_8: RPTBB22W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RPTBB22WDZF2NAZN4N6JXR4GJD \
  | 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: 8be610eb561e4ba6832de37c9bc78648cf32f93632d486eb16587ce24d4134da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f68e45afaeb3564607e52a2f75b486e77be18f74b9d0459c753b811ed1b220cb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-29T19:28:29Z",
    "title_canon_sha256": "0f7a05e4b6240a66f9ab1229e3347bff50f54da7b768a84937a7b73205cd5ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7834",
    "kind": "arxiv",
    "version": 3
  }
}