Pith Number

pith:T5OMJFPU

pith:2013:T5OMJFPUADKOD2BYBOQG6YATKP

not attested not anchored not stored refs pending

The Betti numbers of Stanley-Reisner ideals of simplicial trees

Sara Faridi

arxiv:1302.4635 v1 · 2013-02-19 · 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{T5OMJFPUADKOD2BYBOQG6YATKP}

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	2026-05-18T03:33:12.635430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5cc495f400d4e1e8380ba06f601353e92925aef38ad0d2c10eed4998438095

Aliases

arxiv: 1302.4635 · arxiv_version: 1302.4635v1 · doi: 10.48550/arxiv.1302.4635 · pith_short_12: T5OMJFPUADKO · pith_short_16: T5OMJFPUADKOD2BY · pith_short_8: T5OMJFPU

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/T5OMJFPUADKOD2BYBOQG6YATKP \
  | 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: 9f5cc495f400d4e1e8380ba06f601353e92925aef38ad0d2c10eed4998438095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f7fd238428503acddcf0df13036c4f87b8c33cdacbabc10254769ddcf53c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-19T15:15:05Z",
    "title_canon_sha256": "0db19b7387c21f1624c5df80c18ca67bce3ef2f647ef6c74716c510a9ceac1f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4635",
    "kind": "arxiv",
    "version": 1
  }
}