Pith Number

pith:UPSQYTBW

pith:2026:UPSQYTBW4EBUNEOLVLZSCYIDS2

not attested not anchored not stored refs pending

Orlik--Solomon sheaf homology of geometric lattices

Ye Liu

arxiv:2607.08494 v1 · 2026-07-09 · 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{UPSQYTBW4EBUNEOLVLZSCYIDS2}

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	2026-07-10T01:19:52.087373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e50c4c36e1034691cbaaf321610396b0e0f0f76db7cde8465aeee7372279bd

Aliases

arxiv: 2607.08494 · arxiv_version: 2607.08494v1 · doi: 10.48550/arxiv.2607.08494 · pith_short_12: UPSQYTBW4EBU · pith_short_16: UPSQYTBW4EBUNEOL · pith_short_8: UPSQYTBW

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/UPSQYTBW4EBUNEOLVLZSCYIDS2 \
  | 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: a3e50c4c36e1034691cbaaf321610396b0e0f0f76db7cde8465aeee7372279bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd75d3769e54e95af195ff639a4b7fda92804c1bcce3e0687f1c1b417746ff8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-09T13:53:12Z",
    "title_canon_sha256": "e88b73460408f10442802046863dfe85caae53d26a5d1fa358dd3316f1eeee93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08494",
    "kind": "arxiv",
    "version": 1
  }
}