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Pith Number

pith:DGC75JGE

pith:2026:DGC75JGEGFXSCRSPT3VSNBSRYD
not attested not anchored not stored refs pending

Mutation of Fano Simplices and Markov type equations

Yunhyung Cho

arxiv:2606.21091 v1 · 2026-06-19 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DGC75JGEGFXSCRSPT3VSNBSRYD}

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 2026-06-23T01:12:29.563609Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1985fea4c4316f21464f9eeb268651c0e0493519fdf4659ed60f28119ec33f4d

Aliases

arxiv: 2606.21091 · arxiv_version: 2606.21091v1 · doi: 10.48550/arxiv.2606.21091 · pith_short_12: DGC75JGEGFXS · pith_short_16: DGC75JGEGFXSCRSP · pith_short_8: DGC75JGE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DGC75JGEGFXSCRSPT3VSNBSRYD \
  | 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: 1985fea4c4316f21464f9eeb268651c0e0493519fdf4659ed60f28119ec33f4d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c9c1f9bad8225df440a9b23bbd318c14a0bbcd540977d18b9b659c887f266348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-19T04:38:29Z",
    "title_canon_sha256": "13df3e07388c42c4e8b6ed27d3ced6e87b0f1a341407d95bba7313fa624a764b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21091",
    "kind": "arxiv",
    "version": 1
  }
}