Pith Number

pith:TNLUWXLV

pith:2015:TNLUWXLVAAF63TWV3IOMT4UV5A

not attested not anchored not stored refs pending

The parity theorem for multiple polylogarithms

Erik Panzer

arxiv:1512.04482 v3 · 2015-12-14 · 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{TNLUWXLVAAF63TWV3IOMT4UV5A}

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.

Cited by

1 paper in Pith

Multiple zeta values ending with a fixed string

Receipt and verification

First computed	2026-05-18T01:01:42.172597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b574b5d75000bedced5da1cc9f295e810ee3dd085f4773724248857f790a8c7

Aliases

arxiv: 1512.04482 · arxiv_version: 1512.04482v3 · doi: 10.48550/arxiv.1512.04482 · pith_short_12: TNLUWXLVAAF6 · pith_short_16: TNLUWXLVAAF63TWV · pith_short_8: TNLUWXLV

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/TNLUWXLVAAF63TWV3IOMT4UV5A \
  | 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: 9b574b5d75000bedced5da1cc9f295e810ee3dd085f4773724248857f790a8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51053b3b55c5462f8e0cdc0f4fe7b6d5103363b8906997889aa7cd95c6dd262f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-14T19:38:11Z",
    "title_canon_sha256": "ab3ea338d6ac4c80458d4b11520d45ab4460a5cc5e173f693563e9372a67510b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04482",
    "kind": "arxiv",
    "version": 3
  }
}