Pith Number

pith:CZ7TLK54

pith:2025:CZ7TLK54PXCHRVTKN4Y236GFAQ

not attested not anchored not stored refs pending

Combinatorial Calabi flows with ideal circle patterns

Xiaoxiao Zhang

arxiv:2501.01605 v1 · 2025-01-03 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ7TLK54PXCHRVTKN4Y236GFAQ}

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	2026-07-05T09:56:27.413972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

167f35abbc7dc478d66a6f31adf8c50429c6113365656c81f4186b4ac19d8a01

Aliases

arxiv: 2501.01605 · arxiv_version: 2501.01605v1 · doi: 10.48550/arxiv.2501.01605 · pith_short_12: CZ7TLK54PXCH · pith_short_16: CZ7TLK54PXCHRVTK · pith_short_8: CZ7TLK54

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/CZ7TLK54PXCHRVTKN4Y236GFAQ \
  | 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: 167f35abbc7dc478d66a6f31adf8c50429c6113365656c81f4186b4ac19d8a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e491d9fde22df3af663f88b019f114ba72d767f2d7e63efbf22dd8411a08b2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-03T02:41:17Z",
    "title_canon_sha256": "bc7e5f81b3b559e52a4ec649efd45a93ce53e372c8005f1f287599d7c2530a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01605",
    "kind": "arxiv",
    "version": 1
  }
}