Pith Number

pith:WZIHZZXE

pith:2013:WZIHZZXECP3N7TLLDEGWMAPTLZ

not attested not anchored not stored refs pending

Cubulated moves and discrete knots

Alberto Verjosvky, Cynthia Verjovsky Marcotte, Gabriela Hinojosa

arxiv:1302.2133 v2 · 2013-02-08 · 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{WZIHZZXECP3N7TLLDEGWMAPTLZ}

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	2026-05-18T03:17:24.575938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6507ce6e413f6dfcd6b190d6601f35e5c2dcd4be60543898a3ac64469f4d6d9

Aliases

arxiv: 1302.2133 · arxiv_version: 1302.2133v2 · doi: 10.48550/arxiv.1302.2133 · pith_short_12: WZIHZZXECP3N · pith_short_16: WZIHZZXECP3N7TLL · pith_short_8: WZIHZZXE

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/WZIHZZXECP3N7TLLDEGWMAPTLZ \
  | 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: b6507ce6e413f6dfcd6b190d6601f35e5c2dcd4be60543898a3ac64469f4d6d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e32caabe0253535ca548156b2146b64e56852c7413564f875eb7ed1b3291b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-08T19:58:21Z",
    "title_canon_sha256": "d35b1d92cc8a656a15aecf778b4d688751d68844947819a4ddaed7f98730697f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2133",
    "kind": "arxiv",
    "version": 2
  }
}