Pith Number

pith:25MSK5VA

pith:2017:25MSK5VAFHAON2IT474MV27EUX

not attested not anchored not stored refs pending

The Apollonian circle packing and ample cones for K3 surfaces

Arthur Baragar

arxiv:1708.06061 v1 · 2017-08-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25MSK5VAFHAON2IT474MV27EUX}

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	2026-05-18T00:37:43.381305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7592576a029c0e6e913e7f8caebe4a5c1980bfe7cbfb6e1044f7fdfafe43a96

Aliases

arxiv: 1708.06061 · arxiv_version: 1708.06061v1 · doi: 10.48550/arxiv.1708.06061 · pith_short_12: 25MSK5VAFHAO · pith_short_16: 25MSK5VAFHAON2IT · pith_short_8: 25MSK5VA

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/25MSK5VAFHAON2IT474MV27EUX \
  | 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: d7592576a029c0e6e913e7f8caebe4a5c1980bfe7cbfb6e1044f7fdfafe43a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105cd31fbc92a2484389434726246bc50ff3ad32ba52b91c58de37aaccc91b9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-21T02:21:38Z",
    "title_canon_sha256": "21c29b0f8f351b674ffc41ca17c4c0318d9375d8fa901d219dce9a54387ef99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06061",
    "kind": "arxiv",
    "version": 1
  }
}