Pith Number

pith:KYBRBO2H

pith:2013:KYBRBO2HEA4LSSWGNSBUYOM3ZO

not attested not anchored not stored refs pending

Word calculus in the fundamental group of the Menger curve

Andreas Zastrow, Hanspeter Fischer

arxiv:1310.7968 v1 · 2013-10-29 · 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{KYBRBO2HEA4LSSWGNSBUYOM3ZO}

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	2026-05-18T00:24:40.238543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560310bb472038b94ac66c834c399bcba94d0250bc7b40dbe9d0e1a2029d9817

Aliases

arxiv: 1310.7968 · arxiv_version: 1310.7968v1 · doi: 10.48550/arxiv.1310.7968 · pith_short_12: KYBRBO2HEA4L · pith_short_16: KYBRBO2HEA4LSSWG · pith_short_8: KYBRBO2H

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/KYBRBO2HEA4LSSWGNSBUYOM3ZO \
  | 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: 560310bb472038b94ac66c834c399bcba94d0250bc7b40dbe9d0e1a2029d9817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a8687cfe218fc22f0d716dbfaa9eec19c9f2e90341d865f55167c359f73b81a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-29T21:17:29Z",
    "title_canon_sha256": "668fee2ae94a1de5c097a042a5c412f4e32ea1b1d342b32fdd5edebedce869f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7968",
    "kind": "arxiv",
    "version": 1
  }
}