Pith Number

pith:7P4UFIEN

pith:2017:7P4UFIEN2VPIITXMAPFLVOAUE2

not attested not anchored not stored refs pending

Inequalities for free multi-braid arrangements

Michael DiPasquale

arxiv:1705.02409 v1 · 2017-05-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7P4UFIEN2VPIITXMAPFLVOAUE2}

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	2026-05-18T00:44:56.660731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf942a08dd55e844eec03cabab8142699bd9efa67fa170e54240533b7b87c03

Aliases

arxiv: 1705.02409 · arxiv_version: 1705.02409v1 · doi: 10.48550/arxiv.1705.02409 · pith_short_12: 7P4UFIEN2VPI · pith_short_16: 7P4UFIEN2VPIITXM · pith_short_8: 7P4UFIEN

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/7P4UFIEN2VPIITXMAPFLVOAUE2 \
  | 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: fbf942a08dd55e844eec03cabab8142699bd9efa67fa170e54240533b7b87c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6120145141887d854916595c22268f3cd3c8c0a70f56442fa6928783b05a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-05-05T22:22:27Z",
    "title_canon_sha256": "f8630daefc4d18fe8bdf879dc2cd4ceaa975ff6ec658911822ea71abebfee18f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02409",
    "kind": "arxiv",
    "version": 1
  }
}