Pith Number

pith:IVFLTZ3C

pith:2015:IVFLTZ3CFTNPF5K775JBI5ZATH

not attested not anchored not stored refs pending

Spherical space forms revisited

Daniel Allcock

arxiv:1509.00906 v3 · 2015-09-03 · math.GT · math.DG · 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{IVFLTZ3CFTNPF5K775JBI5ZATH}

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	2026-05-18T01:04:41.664903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454ab9e7622cdaf2f55fff5214772099c5b4d2149097759f7568d2e542608e93

Aliases

arxiv: 1509.00906 · arxiv_version: 1509.00906v3 · doi: 10.48550/arxiv.1509.00906 · pith_short_12: IVFLTZ3CFTNP · pith_short_16: IVFLTZ3CFTNPF5K7 · pith_short_8: IVFLTZ3C

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/IVFLTZ3CFTNPF5K775JBI5ZATH \
  | 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: 454ab9e7622cdaf2f55fff5214772099c5b4d2149097759f7568d2e542608e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59c348b37f8d1049748398018cdd6cc1f1b896c2304ebf3fa39793fb35df270",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-03T00:36:43Z",
    "title_canon_sha256": "241403dec94879ed14bd59b0064a38c245b926102956d1acb81895988fbda51a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00906",
    "kind": "arxiv",
    "version": 3
  }
}