Pith Number

pith:4T7QFEX7

pith:2012:4T7QFEX7Z7WIBCP2MKTZRFSKDO

not attested not anchored not stored refs pending

Horowitz-Randol pairs of curves in q-differential metrics

Anja Bankovic

arxiv:1210.0518 v3 · 2012-10-01 · 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{4T7QFEX7Z7WIBCP2MKTZRFSKDO}

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	2026-05-18T02:32:54.610678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ff0292ffcfec8089fa62a798964a1b84a7cdf5d3d11bce2806b96aec3cd750

Aliases

arxiv: 1210.0518 · arxiv_version: 1210.0518v3 · doi: 10.48550/arxiv.1210.0518 · pith_short_12: 4T7QFEX7Z7WI · pith_short_16: 4T7QFEX7Z7WIBCP2 · pith_short_8: 4T7QFEX7

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/4T7QFEX7Z7WIBCP2MKTZRFSKDO \
  | 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: e4ff0292ffcfec8089fa62a798964a1b84a7cdf5d3d11bce2806b96aec3cd750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461564695cc44663c219d9338fa90fd684fc7be8d5da24ea1bc5259710e41d13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-01T19:37:47Z",
    "title_canon_sha256": "ab0de91959feb645b6c2bcc078ca2344f31b4e833ba0cd5128c559461f59cf89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0518",
    "kind": "arxiv",
    "version": 3
  }
}