Pith Number

pith:RJPZZYFL

pith:2026:RJPZZYFLDMHDQRWH5M6KNG4YTU

not attested not anchored not stored refs pending

A note on polyhedral cones and toric polylogarithms

Peter Xu

arxiv:2607.01543 v1 · 2026-07-01 · math.KT · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJPZZYFLDMHDQRWH5M6KNG4YTU}

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	2026-07-03T00:17:03.590635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5f9ce0ab1b0e3846c7eb3ca69b989d02626755a255f23da3b85c48512fbf83

Aliases

arxiv: 2607.01543 · arxiv_version: 2607.01543v1 · doi: 10.48550/arxiv.2607.01543 · pith_short_12: RJPZZYFLDMHD · pith_short_16: RJPZZYFLDMHDQRWH · pith_short_8: RJPZZYFL

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/RJPZZYFLDMHDQRWH5M6KNG4YTU \
  | 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: 8a5f9ce0ab1b0e3846c7eb3ca69b989d02626755a255f23da3b85c48512fbf83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d66cd5e54c33fac8293e4cd1249d0c5335e96696a8aa2f5144271cfbf84662",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-07-01T23:45:36Z",
    "title_canon_sha256": "036fca571020949080ef7d939bf9330e175d59344602c64190f046800db2e964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01543",
    "kind": "arxiv",
    "version": 1
  }
}