Pith Number

pith:UWV6AHCV

pith:2014:UWV6AHCVDGAPFAY2EALGR4TLSN

not attested not anchored not stored refs pending

Markov trace on the algebra of braids and ties

Francesca Aicardi, Jesus Juyumaya

arxiv:1408.5672 v5 · 2014-08-25 · 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{UWV6AHCVDGAPFAY2EALGR4TLSN}

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	2026-05-18T01:16:26.726966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5abe01c551980f2831a201668f26b937f746f992f3c3208846ff35eb0e163fd

Aliases

arxiv: 1408.5672 · arxiv_version: 1408.5672v5 · doi: 10.48550/arxiv.1408.5672 · pith_short_12: UWV6AHCVDGAP · pith_short_16: UWV6AHCVDGAPFAY2 · pith_short_8: UWV6AHCV

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/UWV6AHCVDGAPFAY2EALGR4TLSN \
  | 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: a5abe01c551980f2831a201668f26b937f746f992f3c3208846ff35eb0e163fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d57681e6684c13a691597274804396f1fa799edbd54dd5e00abbf53afe5846",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-25T07:22:19Z",
    "title_canon_sha256": "599106f3a127f0a685c9aa2c124dd67275001ffc10f4eb4fc711b8aaafb9963f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5672",
    "kind": "arxiv",
    "version": 5
  }
}