Pith Number

pith:4Z5KC2LL

pith:2010:4Z5KC2LLXFAPHC2O6V2CVKSPWV

not attested not anchored not stored refs pending

Symmetric interval identification systems of order three

Alexandra Skripchenko

arxiv:1010.1820 v3 · 2010-10-09 · math.DS · 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{4Z5KC2LLXFAPHC2O6V2CVKSPWV}

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	2026-05-18T04:08:13.575073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67aa1696bb940f38b4ef5742aaa4fb563784f718b508942ef46877faed93119

Aliases

arxiv: 1010.1820 · arxiv_version: 1010.1820v3 · doi: 10.48550/arxiv.1010.1820 · pith_short_12: 4Z5KC2LLXFAP · pith_short_16: 4Z5KC2LLXFAPHC2O · pith_short_8: 4Z5KC2LL

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/4Z5KC2LLXFAPHC2O6V2CVKSPWV \
  | 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: e67aa1696bb940f38b4ef5742aaa4fb563784f718b508942ef46877faed93119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06ab4a26aec40e078293b0f943ef0c52291153279163ab5619dc8b2dbb0e5f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-09T08:20:16Z",
    "title_canon_sha256": "c92884c8edda9de6d119369d2c6e5b847af03542453aac14a64c7812585d0c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1820",
    "kind": "arxiv",
    "version": 3
  }
}