Pith Number

pith:7HFG54H7

pith:2008:7HFG54H7ZCZOF6C3442FLY4FUS

not attested not anchored not stored refs pending

Root polytopes and growth series of root lattices

Federico Ardila, Julian Pfeifle, Kim Seashore, Matthias Beck, Serkan Hosten

arxiv:0809.5123 v1 · 2008-09-30 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HFG54H7ZCZOF6C3442FLY4FUS}

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	2026-05-18T03:11:24.390481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ca6ef0ffc8b2e2f85be73455e385a490f1314a5bc2d5969fe1e9edb424a356

Aliases

arxiv: 0809.5123 · arxiv_version: 0809.5123v1 · doi: 10.48550/arxiv.0809.5123 · pith_short_12: 7HFG54H7ZCZO · pith_short_16: 7HFG54H7ZCZOF6C3 · pith_short_8: 7HFG54H7

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/7HFG54H7ZCZOF6C3442FLY4FUS \
  | 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: f9ca6ef0ffc8b2e2f85be73455e385a490f1314a5bc2d5969fe1e9edb424a356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f105801a0c9e4f5a4061da016e7e2c1ff2ae611a09494de9d456ce3b808a14c8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-30T06:57:39Z",
    "title_canon_sha256": "ba7a8df61e251703722fd14885026771562c7188c88c9170cebf295a3c9ae708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.5123",
    "kind": "arxiv",
    "version": 1
  }
}