Pith Number

pith:ZN54UIQL

pith:2016:ZN54UIQLUOAYHR6LCVXQUHONH7

not attested not anchored not stored refs pending

On lengths of HZ-localization towers

Roman Mikhailov, Sergei O. Ivanov

arxiv:1605.08198 v2 · 2016-05-26 · math.GR · 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{ZN54UIQLUOAYHR6LCVXQUHONH7}

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	2026-05-18T01:11:47.891424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7bca220ba38183c7cb156f0a1dcd3ff5ccdee6a2c3c6283e493fe76ef35e66

Aliases

arxiv: 1605.08198 · arxiv_version: 1605.08198v2 · doi: 10.48550/arxiv.1605.08198 · pith_short_12: ZN54UIQLUOAY · pith_short_16: ZN54UIQLUOAYHR6L · pith_short_8: ZN54UIQL

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/ZN54UIQLUOAYHR6LCVXQUHONH7 \
  | 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: cb7bca220ba38183c7cb156f0a1dcd3ff5ccdee6a2c3c6283e493fe76ef35e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03661c9b1e73d5de531566d1730839aab9443e64e021c338c95161ebf6f69d03",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-26T09:04:49Z",
    "title_canon_sha256": "b2771541907bf6298d7e053608ca122a9c5606e5bdc0ae7b1cc51e6b6dac2529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08198",
    "kind": "arxiv",
    "version": 2
  }
}