Pith Number

pith:CKAKHD7E

pith:2019:CKAKHD7EKX2VSXPLZHGFJSTWJU

not attested not anchored not stored refs pending

A topological model for the coloured Alexander invariants

Cristina Ana-Maria Anghel

arxiv:1906.04056 v1 · 2019-06-10 · math.GT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKAKHD7EKX2VSXPLZHGFJSTWJU}

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	2026-05-17T23:43:44.009586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1280a38fe455f5595debc9cc54ca764d1fcd2239669c1d82e949ffe2bda51c8d

Aliases

arxiv: 1906.04056 · arxiv_version: 1906.04056v1 · doi: 10.48550/arxiv.1906.04056 · pith_short_12: CKAKHD7EKX2V · pith_short_16: CKAKHD7EKX2VSXPL · pith_short_8: CKAKHD7E

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/CKAKHD7EKX2VSXPLZHGFJSTWJU \
  | 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: 1280a38fe455f5595debc9cc54ca764d1fcd2239669c1d82e949ffe2bda51c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69580c955bed43f546e48adc04d01cdb9c17147afe1cf526445a70eeb555f35d",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-10T14:59:18Z",
    "title_canon_sha256": "2dc719bd8463e5ac1e9e253e0d76b02a4c143908798af84a3f53438998c80fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04056",
    "kind": "arxiv",
    "version": 1
  }
}