Pith Number

pith:KLMPXY7X

pith:2011:KLMPXY7X7LJEU2E3EN4DVHV3RP

not attested not anchored not stored refs pending

Simplified Khovanov-Rozansky Chain Complexes of Open 2-braids

Hao Wu

arxiv:1111.3669 v2 · 2011-11-15 · 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{KLMPXY7X7LJEU2E3EN4DVHV3RP}

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	2026-05-18T03:52:51.059119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d8fbe3f7fad24a689b23783a9ebb8bd71309a92b124c7c6cb05a3e08ab1043

Aliases

arxiv: 1111.3669 · arxiv_version: 1111.3669v2 · doi: 10.48550/arxiv.1111.3669 · pith_short_12: KLMPXY7X7LJE · pith_short_16: KLMPXY7X7LJEU2E3 · pith_short_8: KLMPXY7X

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/KLMPXY7X7LJEU2E3EN4DVHV3RP \
  | 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: 52d8fbe3f7fad24a689b23783a9ebb8bd71309a92b124c7c6cb05a3e08ab1043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34cec7d5252bb1a88566f79915a2b3db23d6d2b2ecb538e1e98f774a804997e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-15T21:48:21Z",
    "title_canon_sha256": "437f59b5e71f0bddc5946dedf0a94669fec327e2923c773cb21b6f182252ca7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3669",
    "kind": "arxiv",
    "version": 2
  }
}