Pith Number

pith:7F7TWNFN

pith:2016:7F7TWNFNW2GCPA34FU3OWYYG64

not attested not anchored not stored refs pending

On simply-laced generalized root systems

Atsushi Takahashi, Shunsuke Nakamura, Yuuki Shiraishi

arxiv:1603.07821 v1 · 2016-03-25 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F7TWNFNW2GCPA34FU3OWYYG64}

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	2026-05-18T01:18:17.748125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97f3b34adb68c27837c2d36eb6306f7260c3a25a80895855c9555c132abb87d

Aliases

arxiv: 1603.07821 · arxiv_version: 1603.07821v1 · doi: 10.48550/arxiv.1603.07821 · pith_short_12: 7F7TWNFNW2GC · pith_short_16: 7F7TWNFNW2GCPA34 · pith_short_8: 7F7TWNFN

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/7F7TWNFNW2GCPA34FU3OWYYG64 \
  | 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: f97f3b34adb68c27837c2d36eb6306f7260c3a25a80895855c9555c132abb87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814fe766ff1bd34be2419dcb24558630727521362dc863f841bd00553599f130",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-25T05:13:13Z",
    "title_canon_sha256": "ffdbc85866a66c242edbc3d91c9aaf17537d52a0bad0e1f825d0468d8363e625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07821",
    "kind": "arxiv",
    "version": 1
  }
}