Pith Number

pith:K4UJYC2T

pith:2014:K4UJYC2TBF4SXTQEEWIBEMEPXE

not attested not anchored not stored refs pending

Orbits of crystallographic embedding of non-crystallographic groups and applications to virology

Emilio Zappa, Motiejus Valiunas, Reidun Twarock

arxiv:1411.2115 v4 · 2014-11-08 · math-ph · math.GR · math.MG · 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{K4UJYC2TBF4SXTQEEWIBEMEPXE}

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	2026-05-18T01:35:11.785855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57289c0b5309792bce04259012308fb917063eec62fe4e0707e84040f698f15b

Aliases

arxiv: 1411.2115 · arxiv_version: 1411.2115v4 · doi: 10.48550/arxiv.1411.2115 · pith_short_12: K4UJYC2TBF4S · pith_short_16: K4UJYC2TBF4SXTQE · pith_short_8: K4UJYC2T

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/K4UJYC2TBF4SXTQEEWIBEMEPXE \
  | 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: 57289c0b5309792bce04259012308fb917063eec62fe4e0707e84040f698f15b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cf3f9e02ed6bd26e5fabab625974a931f6e4bf78189b893a8d52a1dded1ae3",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-08T13:00:58Z",
    "title_canon_sha256": "c577608a213cba89d3ed03c0acce0b38be62211b8ebe38f6d1ea3846adce4abf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2115",
    "kind": "arxiv",
    "version": 4
  }
}