Pith Number

pith:WNYPAKCO

pith:2014:WNYPAKCO7VDT54EUCC45HYAHVT

not attested not anchored not stored refs pending

Topological spherical space forms

Ian Hambleton

arxiv:1412.8187 v1 · 2014-12-28 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNYPAKCO7VDT54EUCC45HYAHVT}

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	2026-05-18T00:36:41.717664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b370f0284efd473ef09410b9d3e007acda6d38be8f9e3b078169f332b5f4782d

Aliases

arxiv: 1412.8187 · arxiv_version: 1412.8187v1 · doi: 10.48550/arxiv.1412.8187 · pith_short_12: WNYPAKCO7VDT · pith_short_16: WNYPAKCO7VDT54EU · pith_short_8: WNYPAKCO

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/WNYPAKCO7VDT54EUCC45HYAHVT \
  | 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: b370f0284efd473ef09410b9d3e007acda6d38be8f9e3b078169f332b5f4782d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b373cb27a34a2dfb7e7d15512b7853b3eeccc88c6424b15d42720ef2480834",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-28T16:56:50Z",
    "title_canon_sha256": "007f5259497b8f0916c4f3c3484b7c72db789dff9e0ee2c8b99a1223c7a697a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8187",
    "kind": "arxiv",
    "version": 1
  }
}