Pith Number

pith:MCBB4P57

pith:2012:MCBB4P57QFUEX5LPZDBQCYA5TU

not attested not anchored not stored refs pending

Triakis Solids and Harmonic Functions

Katsunori Iwasaki, Miki Hasui

arxiv:1210.4681 v1 · 2012-10-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCBB4P57QFUEX5LPZDBQCYA5TU}

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	2026-05-18T03:42:56.445263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60821e3fbf81684bf56fc8c301601d9d388f949dbc989ec12ce142788b7767ee

Aliases

arxiv: 1210.4681 · arxiv_version: 1210.4681v1 · doi: 10.48550/arxiv.1210.4681 · pith_short_12: MCBB4P57QFUE · pith_short_16: MCBB4P57QFUEX5LP · pith_short_8: MCBB4P57

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/MCBB4P57QFUEX5LPZDBQCYA5TU \
  | 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: 60821e3fbf81684bf56fc8c301601d9d388f949dbc989ec12ce142788b7767ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae249e7185f2abba551110fa31fe4a418109cced959a98587da672dd53aef452",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-17T09:32:14Z",
    "title_canon_sha256": "3f12f15838f44e028fd81a050ee0fdddd1a5759d3b5b048629846d9c2b1d055f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4681",
    "kind": "arxiv",
    "version": 1
  }
}