Pith Number

pith:DUQLPTTZ

pith:2017:DUQLPTTZQE5IH4TBOAXR574TWA

not attested not anchored not stored refs pending

Polynomial braid combing

Juan Gonz\'alez-Meneses, Marithania Silvero

arxiv:1712.01552 v1 · 2017-12-05 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUQLPTTZQE5IH4TBOAXR574TWA}

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	2026-05-18T00:28:50.362101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d20b7ce79813a83f261702f1eff93b03fad060d558547cf22f3ffd782221bb7

Aliases

arxiv: 1712.01552 · arxiv_version: 1712.01552v1 · doi: 10.48550/arxiv.1712.01552 · pith_short_12: DUQLPTTZQE5I · pith_short_16: DUQLPTTZQE5IH4TB · pith_short_8: DUQLPTTZ

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/DUQLPTTZQE5IH4TBOAXR574TWA \
  | 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: 1d20b7ce79813a83f261702f1eff93b03fad060d558547cf22f3ffd782221bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d88a90b0c234a17ace625734e8f1df2bb638f26f9f1d4a24c10842042165d037",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-05T10:06:50Z",
    "title_canon_sha256": "01bfd3d0669b06af0a8e943dbcb6b83718b716ae6aea4a9afa72340a6740d060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01552",
    "kind": "arxiv",
    "version": 1
  }
}