Pith Number

pith:Z2LMLGH7

pith:2014:Z2LMLGH7R4E6XHVII2A2DQAWNL

not attested not anchored not stored refs pending

Integral Euler characteristic of Out F_{11}

Masaaki Suzuki, Shigeyuki Morita, Takuya Sakasai

arxiv:1405.4063 v2 · 2014-05-16 · math.AT · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2LMLGH7R4E6XHVII2A2DQAWNL}

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	2026-05-18T02:27:58.691950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce96c598ff8f09eb9ea84681a1c0166aeac9b87818a904ae45ea726b98d2ffa6

Aliases

arxiv: 1405.4063 · arxiv_version: 1405.4063v2 · doi: 10.48550/arxiv.1405.4063 · pith_short_12: Z2LMLGH7R4E6 · pith_short_16: Z2LMLGH7R4E6XHVI · pith_short_8: Z2LMLGH7

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/Z2LMLGH7R4E6XHVII2A2DQAWNL \
  | 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: ce96c598ff8f09eb9ea84681a1c0166aeac9b87818a904ae45ea726b98d2ffa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343bc4c7678c6b48953a1716c4e6e63225e478a0db740ea37d25c56bd1f1ba76",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-16T04:35:16Z",
    "title_canon_sha256": "c0c00171492afdb81cdd65c470bc6cdd7552cd38a3cd72f11c3e4dbe36817266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4063",
    "kind": "arxiv",
    "version": 2
  }
}