Pith Number

pith:XCADJAGU

pith:2015:XCADJAGUKGK6MPZPL3WCUCCIHV

not attested not anchored not stored refs pending

Topological Rigidity for FJ by the Infinite Cyclic Group

Kun Wang

arxiv:1512.01225 v2 · 2015-12-03 · math.GT · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCADJAGUKGK6MPZPL3WCUCCIHV}

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	2026-05-18T00:53:34.811935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8803480d45195e63f2f5eec2a08483d543a2654fe1671dd4145d5d768bd5244

Aliases

arxiv: 1512.01225 · arxiv_version: 1512.01225v2 · doi: 10.48550/arxiv.1512.01225 · pith_short_12: XCADJAGUKGK6 · pith_short_16: XCADJAGUKGK6MPZP · pith_short_8: XCADJAGU

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/XCADJAGUKGK6MPZPL3WCUCCIHV \
  | 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: b8803480d45195e63f2f5eec2a08483d543a2654fe1671dd4145d5d768bd5244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d358c411f44801e6432eb295092da8d617cf3139b763c31944c8a71edf97fd95",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-03T20:55:22Z",
    "title_canon_sha256": "be212f5776654bcc17902416aeb8d8de76f8c8c31801685ae1b1e9c547be5bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01225",
    "kind": "arxiv",
    "version": 2
  }
}