Pith Number

pith:XHIFBFKK

pith:2015:XHIFBFKKZW6525IHSFM6U25QCR

not attested not anchored not stored refs pending

On multiple series of Eisenstein type

Henrik Bachmann, Hirofumi Tsumura

arxiv:1505.04040 v1 · 2015-05-15 · 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{XHIFBFKKZW6525IHSFM6U25QCR}

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	2026-05-18T02:09:40.367600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d050954acdbddd75079159ea6bb01469c4eee8350439c767b6e13982e3cd4b

Aliases

arxiv: 1505.04040 · arxiv_version: 1505.04040v1 · doi: 10.48550/arxiv.1505.04040 · pith_short_12: XHIFBFKKZW65 · pith_short_16: XHIFBFKKZW6525IH · pith_short_8: XHIFBFKK

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/XHIFBFKKZW6525IHSFM6U25QCR \
  | 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: b9d050954acdbddd75079159ea6bb01469c4eee8350439c767b6e13982e3cd4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322ed58b331ede70d3c6d5114f47949cd4b6b5445abaaa4ffb2dd4611f14dc02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-15T12:03:19Z",
    "title_canon_sha256": "c64bf18340668700cbb549095be4238d0ce877526c875d1e061941463d3814ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04040",
    "kind": "arxiv",
    "version": 1
  }
}