Pith Number

pith:XIVF5EY7

pith:2016:XIVF5EY7BYPS4CE44RDFIVVYPN

not attested not anchored not stored refs pending

Projective dimension and regularity of the path ideal of the line graph

Guangjun Zhu

arxiv:1610.02958 v2 · 2016-10-10 · 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{XIVF5EY7BYPS4CE44RDFIVVYPN}

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	2026-05-18T01:01:15.323203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba2a5e931f0e1f2e089ce4465456b87b70649dea4d3a4d7d4e6d2b0c7da5099c

Aliases

arxiv: 1610.02958 · arxiv_version: 1610.02958v2 · doi: 10.48550/arxiv.1610.02958 · pith_short_12: XIVF5EY7BYPS · pith_short_16: XIVF5EY7BYPS4CE4 · pith_short_8: XIVF5EY7

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/XIVF5EY7BYPS4CE44RDFIVVYPN \
  | 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: ba2a5e931f0e1f2e089ce4465456b87b70649dea4d3a4d7d4e6d2b0c7da5099c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15f6367708272e0b8bf7fc033cb669a3845d211238aea4041ec697cd2975126",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-10T15:21:25Z",
    "title_canon_sha256": "1ebe7bc251abe91e0f959e4220f1ba722f10cba5d4a657c5625c847dbe0d5105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02958",
    "kind": "arxiv",
    "version": 2
  }
}