Pith Number

pith:U37AFKNN

pith:2019:U37AFKNNBJRAAB4WGM6EWUL3H3

not attested not anchored not stored refs pending

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

Daniel Tubbenhauer, David E.V. Rose

arxiv:1908.06878 v1 · 2019-08-19 · math.QA · 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{U37AFKNNBJRAAB4WGM6EWUL3H3}

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	2026-07-05T06:51:58.088416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6fe02a9ad0a62000796333c4b517b3ef18c4f38b7d3d94cda8580d3f90ac575

Aliases

arxiv: 1908.06878 · arxiv_version: 1908.06878v1 · doi: 10.48550/arxiv.1908.06878 · pith_short_12: U37AFKNNBJRA · pith_short_16: U37AFKNNBJRAAB4W · pith_short_8: U37AFKNN

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/U37AFKNNBJRAAB4WGM6EWUL3H3 \
  | 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: a6fe02a9ad0a62000796333c4b517b3ef18c4f38b7d3d94cda8580d3f90ac575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa14ce06fb96aca7dd5cb4e3ad93e9f16ff476565ecfbfd4dfa4324faf1865f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-08-19T15:31:29Z",
    "title_canon_sha256": "f71a1d690a2365c7eebb3fea39a2a0e2058f908ba1476fec7e01537678e61679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06878",
    "kind": "arxiv",
    "version": 1
  }
}