Pith Number

pith:U3NTQV2M

pith:2016:U3NTQV2MOTUKD3XNDBU64ZPPHV

not attested not anchored not stored refs pending

On finite Carlitz multiple polylogarithms

Chieh-Yu Chang, Yoshinori Mishiba

arxiv:1611.02822 v1 · 2016-11-09 · 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{U3NTQV2MOTUKD3XNDBU64ZPPHV}

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	2026-05-18T00:59:43.536971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6db38574c74e8a1eeed1869ee65ef3d639842f0523bb3e399b0b2424a9fe4d4

Aliases

arxiv: 1611.02822 · arxiv_version: 1611.02822v1 · doi: 10.48550/arxiv.1611.02822 · pith_short_12: U3NTQV2MOTUK · pith_short_16: U3NTQV2MOTUKD3XN · pith_short_8: U3NTQV2M

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/U3NTQV2MOTUKD3XNDBU64ZPPHV \
  | 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: a6db38574c74e8a1eeed1869ee65ef3d639842f0523bb3e399b0b2424a9fe4d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81f5934f0384ffe10aa00a31fc13bc5e19f5c4347a6904c3151649be7942ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-09T05:41:14Z",
    "title_canon_sha256": "f3e86e7f5521193e24459b10494fe04c570c572d585ab786fece8fdd4996189b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02822",
    "kind": "arxiv",
    "version": 1
  }
}