Pith Number

pith:KBDLF6CM

pith:2011:KBDLF6CML4S4LJQDLAL7EW2UEF

not attested not anchored not stored refs pending

Square complexes and simplicial nonpositive curvature

Piotr Przytycki, Tomasz Elsner

arxiv:1107.4182 v1 · 2011-07-21 · math.GR · 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{KBDLF6CML4S4LJQDLAL7EW2UEF}

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	2026-05-18T04:17:13.049551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5046b2f84c5f25c5a6035817f25b54216b4fd3639409b36ab63a93f0cb3b9564

Aliases

arxiv: 1107.4182 · arxiv_version: 1107.4182v1 · doi: 10.48550/arxiv.1107.4182 · pith_short_12: KBDLF6CML4S4 · pith_short_16: KBDLF6CML4S4LJQD · pith_short_8: KBDLF6CM

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/KBDLF6CML4S4LJQDLAL7EW2UEF \
  | 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: 5046b2f84c5f25c5a6035817f25b54216b4fd3639409b36ab63a93f0cb3b9564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ad0c88cf39b3a921b62a870040cb63ace05828386912eba806ec15e710b734",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-21T06:57:20Z",
    "title_canon_sha256": "a00d2e50a7c999d4728c1b49b88c574279814eed2263b2649f9008d1b7ed1adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4182",
    "kind": "arxiv",
    "version": 1
  }
}