Pith Number

pith:DYZHFCOH

pith:2012:DYZHFCOH4J73PEXRMOKSDXBUHC

not attested not anchored not stored refs pending

Polygons with Parallel Opposite Sides

Marcos Craizer, Moacyr A. H. B. da Silva, Ralph C. Teixeira

arxiv:1210.2442 v2 · 2012-10-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYZHFCOH4J73PEXRMOKSDXBUHC}

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	2026-05-18T03:19:11.567224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e327289c7e27fb792f1639521dc34388469d92e6a6ad33bac399a115e2f334c

Aliases

arxiv: 1210.2442 · arxiv_version: 1210.2442v2 · doi: 10.48550/arxiv.1210.2442 · pith_short_12: DYZHFCOH4J73 · pith_short_16: DYZHFCOH4J73PEXR · pith_short_8: DYZHFCOH

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/DYZHFCOH4J73PEXRMOKSDXBUHC \
  | 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: 1e327289c7e27fb792f1639521dc34388469d92e6a6ad33bac399a115e2f334c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e835ee2da8a0ac1408e8ccfb2f74f782fb43cfb0d91ef89fb64272d1eeba90bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-08T23:51:07Z",
    "title_canon_sha256": "311c67a94a072ec686f5ab960b34716b36b44597a320418a9e707d9bbbe5e779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2442",
    "kind": "arxiv",
    "version": 2
  }
}