Pith Number

pith:GEMDVYWU

pith:2018:GEMDVYWULCVAS4RO3LX4GNL3DV

not attested not anchored not stored refs pending

Quantum invariants via Hopf algebras and solutions to the Yang-Baxter equation

Leandro Vendramin

arxiv:1811.09345 v1 · 2018-11-23 · 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{GEMDVYWULCVAS4RO3LX4GNL3DV}

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	2026-05-18T00:00:03.631479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31183ae2d458aa09722edaefc3357b1d4ef886b7b9aec5457304687769f7c0ea

Aliases

arxiv: 1811.09345 · arxiv_version: 1811.09345v1 · doi: 10.48550/arxiv.1811.09345 · pith_short_12: GEMDVYWULCVA · pith_short_16: GEMDVYWULCVAS4RO · pith_short_8: GEMDVYWU

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/GEMDVYWULCVAS4RO3LX4GNL3DV \
  | 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: 31183ae2d458aa09722edaefc3357b1d4ef886b7b9aec5457304687769f7c0ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1a8747b7ead28d9febab37b533a542b6c022b195679f394039fc79af8f761e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-23T02:29:20Z",
    "title_canon_sha256": "9a03f476bd5cee6fe8d8f5a378a22f6a259bf12d30fdfd171818e6401e97795e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09345",
    "kind": "arxiv",
    "version": 1
  }
}