pith. sign in
Pith Number

pith:2Y65TZVA

pith:2016:2Y65TZVA7JJKR7BYX6FIAXPALJ
not attested not anchored not stored refs pending

CHY-Graphs on a Torus

Carlos Cardona, Humberto Gomez

arxiv:1607.01871 v1 · 2016-07-07 · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2Y65TZVA7JJKR7BYX6FIAXPALJ}

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 2026-05-18T00:57:11.887593Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d63dd9e6a0fa52a8fc38bf8a805de05a6e8ef47042ef94c463aa8eafbb80ae60

Aliases

arxiv: 1607.01871 · arxiv_version: 1607.01871v1 · doi: 10.48550/arxiv.1607.01871 · pith_short_12: 2Y65TZVA7JJK · pith_short_16: 2Y65TZVA7JJKR7BY · pith_short_8: 2Y65TZVA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2Y65TZVA7JJKR7BYX6FIAXPALJ \
  | 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: d63dd9e6a0fa52a8fc38bf8a805de05a6e8ef47042ef94c463aa8eafbb80ae60
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9d431f5f9a38f412cc4e2dbc9223b9f267b8755c2b0c28d33c94686e84dcb741",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-07T04:24:02Z",
    "title_canon_sha256": "c72cd97b0d4dbbf48f9263011ee009ff98d0e9b9f094f3dfa1610047abe0997a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01871",
    "kind": "arxiv",
    "version": 1
  }
}