Pith Number

pith:NJS7JXIV

pith:2017:NJS7JXIVNC5DJM2DABAJMPX6ZR

not attested not anchored not stored refs pending

Braided Hopf algebras from twisting

Andrzej Sitarz, Arkadiusz Bochniak

arxiv:1701.01106 v2 · 2017-01-04 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJS7JXIVNC5DJM2DABAJMPX6ZR}

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	2026-07-05T00:26:03.264033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a65f4dd1568ba34b3430040963efecc51fdc93678650392d554f068ded5e8ee

Aliases

arxiv: 1701.01106 · arxiv_version: 1701.01106v2 · doi: 10.48550/arxiv.1701.01106 · pith_short_12: NJS7JXIVNC5D · pith_short_16: NJS7JXIVNC5DJM2D · pith_short_8: NJS7JXIV

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/NJS7JXIVNC5DJM2DABAJMPX6ZR \
  | 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: 6a65f4dd1568ba34b3430040963efecc51fdc93678650392d554f068ded5e8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa8c2d44379c35ef1b86b53566e20ae517f28bc3b04adab4ec9539a7a1a9c0b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-01-04T18:44:52Z",
    "title_canon_sha256": "184df476b26ce99ff82546dfe471449fe9c543806150446c1ab48fa51177f397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01106",
    "kind": "arxiv",
    "version": 2
  }
}