Pith Number

pith:TIGSPS3Q

pith:2013:TIGSPS3QFQPPBRBUXKAWJ3HWVS

not attested not anchored not stored refs pending

A short proof of Toru\'nczyk's Characterization Theorems

Jan J. Dijkstra, Jan van Mill, Michael Levin

arxiv:1309.7491 v1 · 2013-09-28 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIGSPS3QFQPPBRBUXKAWJ3HWVS}

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	2026-05-18T03:11:58.544200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0d27cb702c1ef0c434ba8164ecf6acbaf995838fdd5e781ee30fb3a21d8f42

Aliases

arxiv: 1309.7491 · arxiv_version: 1309.7491v1 · doi: 10.48550/arxiv.1309.7491 · pith_short_12: TIGSPS3QFQPP · pith_short_16: TIGSPS3QFQPPBRBU · pith_short_8: TIGSPS3Q

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/TIGSPS3QFQPPBRBUXKAWJ3HWVS \
  | 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: 9a0d27cb702c1ef0c434ba8164ecf6acbaf995838fdd5e781ee30fb3a21d8f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37deebad48c6974fe7005d940c87bd30d5c958ccd45f4636820d45d9969bd486",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-28T18:58:40Z",
    "title_canon_sha256": "397434b8fdd3e3a7c848d1e08f810fe38f9d6097181c4120d5dbdaaebca8d0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7491",
    "kind": "arxiv",
    "version": 1
  }
}