Pith Number

pith:JB2IZCQK

pith:2012:JB2IZCQKNGBYC6FBV664V2PNFG

not attested not anchored not stored refs pending

Canonical Height Functions For Monomial Maps

Chi-Hao Wang, Jan-Li Lin

arxiv:1205.2020 v1 · 2012-05-09 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JB2IZCQKNGBYC6FBV664V2PNFG}

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	2026-05-18T03:55:57.978227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48748c8a0a69838178a1afbdcae9ed2994d7d9783e1761828e22c4228ceb7dcc

Aliases

arxiv: 1205.2020 · arxiv_version: 1205.2020v1 · doi: 10.48550/arxiv.1205.2020 · pith_short_12: JB2IZCQKNGBY · pith_short_16: JB2IZCQKNGBYC6FB · pith_short_8: JB2IZCQK

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/JB2IZCQKNGBYC6FBV664V2PNFG \
  | 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: 48748c8a0a69838178a1afbdcae9ed2994d7d9783e1761828e22c4228ceb7dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dad059f40913d89063c1ed45133580f945eca9af3942fa8852dc08a2e7f3089",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-09T16:21:27Z",
    "title_canon_sha256": "394942ee22c5b696eb775024de9478449e545d5e9bc4a1c7ee00f456c8b365b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2020",
    "kind": "arxiv",
    "version": 1
  }
}