Pith Number

pith:BEKHU6SS

pith:2011:BEKHU6SSHC6LIYGMQKEOZVZY7V

not attested not anchored not stored refs pending

Graded Betti numbers of path ideals of cycles and lines

Ali Alilooee, Sara Faridi

arxiv:1110.6653 v3 · 2011-10-30 · 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{BEKHU6SSHC6LIYGMQKEOZVZY7V}

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	2026-05-18T00:49:08.852700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09147a7a5238bcb460cc8288ecd738fd58f99d47983f2bb1d75cf31e007cb55d

Aliases

arxiv: 1110.6653 · arxiv_version: 1110.6653v3 · doi: 10.48550/arxiv.1110.6653 · pith_short_12: BEKHU6SSHC6L · pith_short_16: BEKHU6SSHC6LIYGM · pith_short_8: BEKHU6SS

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/BEKHU6SSHC6LIYGMQKEOZVZY7V \
  | 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: 09147a7a5238bcb460cc8288ecd738fd58f99d47983f2bb1d75cf31e007cb55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d6a3ef944a8063e5efae8e24b44d9cac5282a0ba7791c033da4e2eb1287eba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-30T20:24:23Z",
    "title_canon_sha256": "e8bd2618af067621170737d82b5062a699f2131fb1286965c14cf3fd0b146668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6653",
    "kind": "arxiv",
    "version": 3
  }
}