Pith Number

pith:F5W7GO5E

pith:2026:F5W7GO5ETIPIFLGPLRNZOXNRF2

not attested not anchored not stored refs pending

Amplitude inequalities for local (co)homology

Henrik Holm, Lars Winther Christensen, Luigi Ferraro

arxiv:2606.02850 v1 · 2026-06-01 · 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{F5W7GO5ETIPIFLGPLRNZOXNRF2}

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	2026-06-03T01:05:24.552604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6df33ba49a1e82accf5c5b975db12ebee7549fd6da7ea96c18eb4b8a789eed

Aliases

arxiv: 2606.02850 · arxiv_version: 2606.02850v1 · doi: 10.48550/arxiv.2606.02850 · pith_short_12: F5W7GO5ETIPI · pith_short_16: F5W7GO5ETIPIFLGP · pith_short_8: F5W7GO5E

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/F5W7GO5ETIPIFLGPLRNZOXNRF2 \
  | 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: 2f6df33ba49a1e82accf5c5b975db12ebee7549fd6da7ea96c18eb4b8a789eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799ee5b2f09aba58933d894dda9e18314027c197dcf36a9d0afbcd688cd5c4e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-01T20:15:55Z",
    "title_canon_sha256": "53fddb027d11d297b5b5ffde20032db16bc45e79617697aa8f8077711fca62f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02850",
    "kind": "arxiv",
    "version": 1
  }
}