Pith Number

pith:63F4IV35

pith:2013:63F4IV357QCWJZP6CB3543CWXY

not attested not anchored not stored refs pending

Compact Clifford-Klein forms -- geometry, topology and dynamics

David Constantine

arxiv:1307.2183 v1 · 2013-07-08 · math.DG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63F4IV357QCWJZP6CB3543CWXY}

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	2026-05-18T03:19:02.156183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6cbc4577dfc0564e5fe1077de6c56be3d01d102bbd8325710cc339137487d5e

Aliases

arxiv: 1307.2183 · arxiv_version: 1307.2183v1 · doi: 10.48550/arxiv.1307.2183 · pith_short_12: 63F4IV357QCW · pith_short_16: 63F4IV357QCWJZP6 · pith_short_8: 63F4IV35

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/63F4IV357QCWJZP6CB3543CWXY \
  | 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: f6cbc4577dfc0564e5fe1077de6c56be3d01d102bbd8325710cc339137487d5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fe7d62eed349fae7a61bb6be7b4b1fdef189fe49f07705c0c1690ae3a12e37",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-08T17:31:49Z",
    "title_canon_sha256": "f57e4b91d172722acc2faa9530b5d9f791d29cd3c03c171b7904e2645189ab2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2183",
    "kind": "arxiv",
    "version": 1
  }
}