Pith Number

pith:PZVJR5XU

pith:2012:PZVJR5XUCXN5ME6I2RBALNMX27

not attested not anchored not stored refs pending

On the minimal distance between two surfaces

Daniel Morales-Silva, David Gao

arxiv:1210.1618 v1 · 2012-10-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZVJR5XUCXN5ME6I2RBALNMX27}

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	2026-05-18T03:44:01.837085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6a98f6f415dbd613c8d44205b597d7e8e4af01185fe65d78559df0553a34b5

Aliases

arxiv: 1210.1618 · arxiv_version: 1210.1618v1 · doi: 10.48550/arxiv.1210.1618 · pith_short_12: PZVJR5XUCXN5 · pith_short_16: PZVJR5XUCXN5ME6I · pith_short_8: PZVJR5XU

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/PZVJR5XUCXN5ME6I2RBALNMX27 \
  | 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: 7e6a98f6f415dbd613c8d44205b597d7e8e4af01185fe65d78559df0553a34b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0dd092f566fc8f03e67af032f0fe054f41060e6b119932e7a8774819056c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-05T00:35:28Z",
    "title_canon_sha256": "e49ba5719f12cbb575e35691a0d4bf1ff381e87d0784baeeac4ba7362fe9ca00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1618",
    "kind": "arxiv",
    "version": 1
  }
}