Pith Number

pith:E5VTEBMM

pith:2010:E5VTEBMMXCRAZUHHUFAIYCH5GW

not attested not anchored not stored refs pending

Path ideals of rooted trees and their graded Betti numbers

Augustine O'Keefe, Huy Tai Ha, Rachelle R. Bouchat

arxiv:1008.4829 v2 · 2010-08-28 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5VTEBMMXCRAZUHHUFAIYCH5GW}

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	2026-05-18T04:20:39.415575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276b32058cb8a20cd0e7a1408c08fd358190f9c8eed6cc667210e78a374085a8

Aliases

arxiv: 1008.4829 · arxiv_version: 1008.4829v2 · doi: 10.48550/arxiv.1008.4829 · pith_short_12: E5VTEBMMXCRA · pith_short_16: E5VTEBMMXCRAZUHH · pith_short_8: E5VTEBMM

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/E5VTEBMMXCRAZUHHUFAIYCH5GW \
  | 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: 276b32058cb8a20cd0e7a1408c08fd358190f9c8eed6cc667210e78a374085a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98bb84ac13f2b4b459b02676a790875c218f3b4ec4cacf3f7f56e0f298a4644",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-28T03:51:59Z",
    "title_canon_sha256": "b21baf479a7b8f72a73936ecbd2fbf5d50c3b2fd02d21739f6689add54298fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4829",
    "kind": "arxiv",
    "version": 2
  }
}