Pith Number

pith:YQT6UBXV

pith:2017:YQT6UBXVGNS5AW6JEO2DSIA2ZT

not attested not anchored not stored refs pending

Elliptic Hall algebra on $\mathbb{F}_1$

Shintarou Yanagida

arxiv:1708.08881 v1 · 2017-08-29 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQT6UBXVGNS5AW6JEO2DSIA2ZT}

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	2026-05-18T00:36:25.360030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c427ea06f53365d05bc923b439201acccfa67419f088a4c03fcc1dda82493fcd

Aliases

arxiv: 1708.08881 · arxiv_version: 1708.08881v1 · doi: 10.48550/arxiv.1708.08881 · pith_short_12: YQT6UBXVGNS5 · pith_short_16: YQT6UBXVGNS5AW6J · pith_short_8: YQT6UBXV

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/YQT6UBXVGNS5AW6JEO2DSIA2ZT \
  | 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: c427ea06f53365d05bc923b439201acccfa67419f088a4c03fcc1dda82493fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16e6ac83eb706efcd472752cb947d4470bfc63469050da7177a5796068fd0d3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-08-29T17:06:46Z",
    "title_canon_sha256": "dd2f665ae8f7d54c41aae586f9d4905a8ac279b624e2978a78a4cc88775c25dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08881",
    "kind": "arxiv",
    "version": 1
  }
}