Pith Number

pith:7CYZEDMY

pith:2017:7CYZEDMYRNXRULFK6YHB3DQ5Q5

not attested not anchored not stored refs pending

The geometry of characters of Hopf algebras

Alexander Schmeding, Geir Bogfjellmo

arxiv:1704.01099 v4 · 2017-04-04 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CYZEDMYRNXRULFK6YHB3DQ5Q5}

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	2026-05-17T23:54:07.673301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b1920d988b6f1a2caaf60e1d8e1d876cacd518ecdbf1f748e18f785b9dd027

Aliases

arxiv: 1704.01099 · arxiv_version: 1704.01099v4 · doi: 10.48550/arxiv.1704.01099 · pith_short_12: 7CYZEDMYRNXR · pith_short_16: 7CYZEDMYRNXRULFK · pith_short_8: 7CYZEDMY

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/7CYZEDMYRNXRULFK6YHB3DQ5Q5 \
  | 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: f8b1920d988b6f1a2caaf60e1d8e1d876cacd518ecdbf1f748e18f785b9dd027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e002884ceab2acb2c54596e3cba25c0cc2a93b552b9f94f96b8507c05a24d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-04T16:41:39Z",
    "title_canon_sha256": "bfd2de8c3b7b7eebaa2361e3baa5c060c685a9053de7bf5aa7a5fb13da798fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01099",
    "kind": "arxiv",
    "version": 4
  }
}