Pith Number

pith:AY36E4FT

pith:2013:AY36E4FTC3HCQKGAJR5NJ2EBN5

not attested not anchored not stored refs pending

On paired root systems of Coxeter groups

Xiang Fu

arxiv:1301.3993 v6 · 2013-01-17 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AY36E4FTC3HCQKGAJR5NJ2EBN5}

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	2026-05-18T03:30:53.296235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0637e270b316ce2828c04c7ad4e8816f65e2f843368f5d47606ed70292a427e0

Aliases

arxiv: 1301.3993 · arxiv_version: 1301.3993v6 · doi: 10.48550/arxiv.1301.3993 · pith_short_12: AY36E4FTC3HC · pith_short_16: AY36E4FTC3HCQKGA · pith_short_8: AY36E4FT

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/AY36E4FTC3HCQKGAJR5NJ2EBN5 \
  | 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: 0637e270b316ce2828c04c7ad4e8816f65e2f843368f5d47606ed70292a427e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "708c2e3a0fa94588ca5cbc3c62017dc7cb4b9c14b85bfe07ae92172392aa08ad",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-17T06:27:46Z",
    "title_canon_sha256": "9e932d2b20716298280cd2b354c85cd3314d8651ef05b153ccaa03db81e68011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3993",
    "kind": "arxiv",
    "version": 6
  }
}