Pith Number

pith:MGPHMJTS

pith:2012:MGPHMJTSNU4TB76GJQ7JJ33TJT

not attested not anchored not stored refs pending

Constructive spherical codes on layers of flat tori

Cristiano Torezzan, Sueli I. R. Costa, Vinay A. Vaishampayan

arxiv:1205.5914 v1 · 2012-05-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGPHMJTSNU4TB76GJQ7JJ33TJT}

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	2026-05-18T00:58:18.178274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619e7626726d3930ffc64c3e94ef734ce2586eadd6126f021be31752e6396b3c

Aliases

arxiv: 1205.5914 · arxiv_version: 1205.5914v1 · doi: 10.48550/arxiv.1205.5914 · pith_short_12: MGPHMJTSNU4T · pith_short_16: MGPHMJTSNU4TB76G · pith_short_8: MGPHMJTS

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/MGPHMJTSNU4TB76GJQ7JJ33TJT \
  | 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: 619e7626726d3930ffc64c3e94ef734ce2586eadd6126f021be31752e6396b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2717f07ad186cc588b22e8a23760d674bfeedb6c8ebcb38a1fa42d5e5747ac1c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-26T19:49:18Z",
    "title_canon_sha256": "d0b34d88bcf6855ccf87b563caa4ac9b6fe5e297f2dc73956cb6b8b7a149e025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5914",
    "kind": "arxiv",
    "version": 1
  }
}