Pith Number

pith:VHBDZ5HU

pith:2016:VHBDZ5HUFA5Y6IWCD6Z2DOQBP4

not attested not anchored not stored refs pending

The Khovanov homology of infinite braids

Gabriel Islambouli, Michael Willis

arxiv:1610.04582 v1 · 2016-10-14 · 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{VHBDZ5HUFA5Y6IWCD6Z2DOQBP4}

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	2026-05-18T01:02:14.671804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c23cf4f4283b8f22c21fb3a1ba017f0e3a52165d5ef8fa214c7dbfcb5e6682

Aliases

arxiv: 1610.04582 · arxiv_version: 1610.04582v1 · doi: 10.48550/arxiv.1610.04582 · pith_short_12: VHBDZ5HUFA5Y · pith_short_16: VHBDZ5HUFA5Y6IWC · pith_short_8: VHBDZ5HU

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/VHBDZ5HUFA5Y6IWCD6Z2DOQBP4 \
  | 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: a9c23cf4f4283b8f22c21fb3a1ba017f0e3a52165d5ef8fa214c7dbfcb5e6682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4745535288c482a5f1231a2e7bb93377315f3b8323ce2488fc199990e8865dd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-14T19:03:20Z",
    "title_canon_sha256": "58c4e9f36f4b85ce0557c273733808d67b2284ead56f2694ddf97630e9f9decc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04582",
    "kind": "arxiv",
    "version": 1
  }
}