Pith Number

pith:3PJ35RMF

pith:2015:3PJ35RMF7FYVGFK5U47TNNQEUT

not attested not anchored not stored refs pending

On multiple polylogarithms in characteristic $p$: $v$-adic vanishing versus $\infty$-adic Eulerianness

Chieh-Yu Chang, Yoshinori Mishiba

arxiv:1511.03490 v2 · 2015-11-11 · 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{3PJ35RMF7FYVGFK5U47TNNQEUT}

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	2026-05-18T00:46:55.927181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd3bec585f97153155da73f36b604a4d7ce80f12cc2afd6a2b60672d6f4338c

Aliases

arxiv: 1511.03490 · arxiv_version: 1511.03490v2 · doi: 10.48550/arxiv.1511.03490 · pith_short_12: 3PJ35RMF7FYV · pith_short_16: 3PJ35RMF7FYVGFK5 · pith_short_8: 3PJ35RMF

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/3PJ35RMF7FYVGFK5U47TNNQEUT \
  | 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: dbd3bec585f97153155da73f36b604a4d7ce80f12cc2afd6a2b60672d6f4338c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d51ab34fa182b088c010c24ecbe7dd188519f5426dae91f107dc6ab0451890c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-11T13:17:30Z",
    "title_canon_sha256": "19c760052b189fba96962141edc5de7d939fd8a6bd5320327755ff7b1354f9e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03490",
    "kind": "arxiv",
    "version": 2
  }
}