Pith Number

pith:5BVSGZ4G

pith:2021:5BVSGZ4GOINUDF4EIXESNL4YB5

not attested not anchored not stored refs pending

Fibre optics

Bruno Gavranovi\'c, Dylan Braithwaite, Eigil Fjeldgren Rischel, Jules Hedges, Matteo Capucci

arxiv:2112.11145 v1 · 2021-12-21 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BVSGZ4GOINUDF4EIXESNL4YB5}

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.

Cited by

1 paper in Pith

Categories of tagged lenses

Receipt and verification

First computed	2026-07-05T03:42:29.551984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e86b236786721b41978445c926af980f63c8fbfb265ddf589e0daad686aafcbd

Aliases

arxiv: 2112.11145 · arxiv_version: 2112.11145v1 · doi: 10.48550/arxiv.2112.11145 · pith_short_12: 5BVSGZ4GOINU · pith_short_16: 5BVSGZ4GOINUDF4E · pith_short_8: 5BVSGZ4G

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/5BVSGZ4GOINUDF4EIXESNL4YB5 \
  | 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: e86b236786721b41978445c926af980f63c8fbfb265ddf589e0daad686aafcbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faec0b67312821598f9b63c721fa26a716b85819ab7ede4bf004bc7eeffb880b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-12-21T12:25:32Z",
    "title_canon_sha256": "a7c2cc82fac8ea79679f4b3e237c2111a03082cbbbe978cfac997d0a13069bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11145",
    "kind": "arxiv",
    "version": 1
  }
}