Pith Number

pith:UVM2STZH

pith:2015:UVM2STZHS2EHTFW6UL4TEG3QHG

not attested not anchored not stored refs pending

Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups

Kiyonori Gomi

arxiv:1509.09194 v3 · 2015-09-30 · math.AT · math-ph · math.KT · 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{UVM2STZHS2EHTFW6UL4TEG3QHG}

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	2026-05-18T00:49:08.644542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a559a94f2796887996dea2f9321b70399cc5e3a9c956b2b2cea02a9c577a77e3

Aliases

arxiv: 1509.09194 · arxiv_version: 1509.09194v3 · doi: 10.48550/arxiv.1509.09194 · pith_short_12: UVM2STZHS2EH · pith_short_16: UVM2STZHS2EHTFW6 · pith_short_8: UVM2STZH

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/UVM2STZHS2EHTFW6UL4TEG3QHG \
  | 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: a559a94f2796887996dea2f9321b70399cc5e3a9c956b2b2cea02a9c577a77e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f37580d69e3cc21b418b6c68962a6456a4f895a5caf35136bafaa7953c5dfd3",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-30T14:39:57Z",
    "title_canon_sha256": "d483b10b045da04b02fcbaad6375370ac275ad00007f17e8e82b84c922256a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09194",
    "kind": "arxiv",
    "version": 3
  }
}