Pith Number

pith:PUF37JXB

pith:2016:PUF37JXBXPHZFLOPNX4BH5OUWH

not attested not anchored not stored refs pending

Theta operators, Goss polynomials, and v-adic modular forms

Guchao Zeng, Matthew A. Papanikolas

arxiv:1605.04235 v3 · 2016-05-13 · 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{PUF37JXBXPHZFLOPNX4BH5OUWH}

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	2026-05-18T00:16:09.707362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0bbfa6e1bbcf92adcf6df813f5d4b1d5dcab019da8ec731875a7399b00910b

Aliases

arxiv: 1605.04235 · arxiv_version: 1605.04235v3 · doi: 10.48550/arxiv.1605.04235 · pith_short_12: PUF37JXBXPHZ · pith_short_16: PUF37JXBXPHZFLOP · pith_short_8: PUF37JXB

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/PUF37JXBXPHZFLOPNX4BH5OUWH \
  | 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: 7d0bbfa6e1bbcf92adcf6df813f5d4b1d5dcab019da8ec731875a7399b00910b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89385c527be768c52cf3382c79cdd6b2edbbc62f8c47e8f778a0af6386f3a56e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-13T16:15:49Z",
    "title_canon_sha256": "0f5dbb64628ef789a06e0048b1e95f193ce928f62af8a6114dbfe5fd935da774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04235",
    "kind": "arxiv",
    "version": 3
  }
}