Pith Number

pith:ZAGXDNRX

pith:2015:ZAGXDNRXVR35CGEOE4VVXBA6GV

not attested not anchored not stored refs pending

The Writhe of Permutations and Random Framed Knots

Chaim Even-Zohar

arxiv:1511.09469 v3 · 2015-11-30 · math.CO · 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{ZAGXDNRXVR35CGEOE4VVXBA6GV}

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	2026-05-18T00:29:21.354826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80d71b637ac77d1188e272b5b841e357803cab7a6a0291a7e1fddae88dcd2f1

Aliases

arxiv: 1511.09469 · arxiv_version: 1511.09469v3 · doi: 10.48550/arxiv.1511.09469 · pith_short_12: ZAGXDNRXVR35 · pith_short_16: ZAGXDNRXVR35CGEO · pith_short_8: ZAGXDNRX

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/ZAGXDNRXVR35CGEOE4VVXBA6GV \
  | 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: c80d71b637ac77d1188e272b5b841e357803cab7a6a0291a7e1fddae88dcd2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4caad1817f30b107e99aade431906d6cce48397999e9d46c5b2cb13a71aba3e9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-30T20:53:46Z",
    "title_canon_sha256": "a72f7f320ac11242d894c5d4c3e77d873eccfc1ee8602445c139183112e21ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09469",
    "kind": "arxiv",
    "version": 3
  }
}