Pith Number

pith:ZMLBIIQK

pith:2013:ZMLBIIQKV4ZZSMK76VWMVKA6NR

not attested not anchored not stored refs pending

Counting and zeta functions over F1

Anton Deitmar, Nobushige Kurokawa, Shin-ya Koyama

arxiv:1306.3681 v2 · 2013-06-16 · 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{ZMLBIIQKV4ZZSMK76VWMVKA6NR}

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	2026-05-18T00:36:14.710556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb1614220aaf3399315ff56ccaa81e6c4b881c0084d34f52a3181c7cb00319d0

Aliases

arxiv: 1306.3681 · arxiv_version: 1306.3681v2 · doi: 10.48550/arxiv.1306.3681 · pith_short_12: ZMLBIIQKV4ZZ · pith_short_16: ZMLBIIQKV4ZZSMK7 · pith_short_8: ZMLBIIQK

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/ZMLBIIQKV4ZZSMK76VWMVKA6NR \
  | 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: cb1614220aaf3399315ff56ccaa81e6c4b881c0084d34f52a3181c7cb00319d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f90ede0082aa1259e7fb6906bbac8c5ba345b0e29b34f14f069aaa9aaed55b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-16T16:43:01Z",
    "title_canon_sha256": "2d22f50cbb0ed91ff2012c3a27f6814e2ac867076a1c3302b0a5f5cecfcd0a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3681",
    "kind": "arxiv",
    "version": 2
  }
}