Pith Number

pith:VGR54QUY

pith:2014:VGR54QUYE7GQMMPVFS3C7EUF3E

not attested not anchored not stored refs pending

Singularization of knots and closed braids

Thomas Fiedler

arxiv:1405.5562 v5 · 2014-05-21 · 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{VGR54QUYE7GQMMPVFS3C7EUF3E}

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	2026-05-17T23:56:15.810821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a3de429827cd0631f52cb62f9285d934fd47dcf8600c80eaa0e61d3beea4d3

Aliases

arxiv: 1405.5562 · arxiv_version: 1405.5562v5 · doi: 10.48550/arxiv.1405.5562 · pith_short_12: VGR54QUYE7GQ · pith_short_16: VGR54QUYE7GQMMPV · pith_short_8: VGR54QUY

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/VGR54QUYE7GQMMPVFS3C7EUF3E \
  | 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: a9a3de429827cd0631f52cb62f9285d934fd47dcf8600c80eaa0e61d3beea4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f738a0115643765f7e475bfb6f7553057f774a75e87edd058620fb8e475b4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-21T21:43:19Z",
    "title_canon_sha256": "a820d0f727bb739b7d824bb9f1b06f36cb2bd1468e84e6b175ab8e05a85f8a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5562",
    "kind": "arxiv",
    "version": 5
  }
}