Pith Number

pith:2V7LDAPH

pith:2026:2V7LDAPHBWMYUU5K4IKPOZVRSJ

not attested not anchored not stored refs pending

An Explicit Expression for MZVs in Terms of Symmetric MZVs

Katsumi Kina

arxiv:2607.05795 v1 · 2026-07-07 · 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{2V7LDAPHBWMYUU5K4IKPOZVRSJ}

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	2026-07-08T01:18:46.296290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57eb181e70d998a53aae214f766b1924d997dd824ad0b0acada1593fcf790f4

Aliases

arxiv: 2607.05795 · arxiv_version: 2607.05795v1 · doi: 10.48550/arxiv.2607.05795 · pith_short_12: 2V7LDAPHBWMY · pith_short_16: 2V7LDAPHBWMYUU5K · pith_short_8: 2V7LDAPH

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/2V7LDAPHBWMYUU5K4IKPOZVRSJ \
  | 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: d57eb181e70d998a53aae214f766b1924d997dd824ad0b0acada1593fcf790f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272925c19cb5279c12b8bf55b86c013bad7b4d54dc19856487bfca61a043e00e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-07T03:47:51Z",
    "title_canon_sha256": "4998525c0bc75cad9d94c8df30c464226404346ce999d1a0d0bc3f11a940d742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05795",
    "kind": "arxiv",
    "version": 1
  }
}