Pith Number

pith:5L5TQXQP

pith:2014:5L5TQXQP2DTMGL5PGJVKG2NGJN

not attested not anchored not stored refs pending

On models of the braid arrangement and their hidden symmetries

Filippo Callegaro, Giovanni Gaiffi

arxiv:1406.1304 v1 · 2014-06-05 · math.AT · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5L5TQXQP2DTMGL5PGJVKG2NGJN}

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	2026-05-18T02:50:23.543492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eafb385e0fd0e6c32faf326aa369a64b56379ff4592a349ff7223bffec76082d

Aliases

arxiv: 1406.1304 · arxiv_version: 1406.1304v1 · doi: 10.48550/arxiv.1406.1304 · pith_short_12: 5L5TQXQP2DTM · pith_short_16: 5L5TQXQP2DTMGL5P · pith_short_8: 5L5TQXQP

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/5L5TQXQP2DTMGL5PGJVKG2NGJN \
  | 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: eafb385e0fd0e6c32faf326aa369a64b56379ff4592a349ff7223bffec76082d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47791f453a0940ecc9a13281d45f9e8f28302711e111c30edfab856dd458650d",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-06-05T09:24:12Z",
    "title_canon_sha256": "d210f38a5bdf0330d8cb9f1cd5b1c64ee9e7b0f83aa910d64d82d14827902396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1304",
    "kind": "arxiv",
    "version": 1
  }
}