Pith Number

pith:FBIFMBUZ

pith:2026:FBIFMBUZY6DGVHDR3FZC2HFCMS

not attested not anchored not stored refs pending

Merging $\lim^1 \mathbf{A} \ne 0$ with other nonvanishing constructions

Justin Tatch Moore, Nathaniel Bannister

arxiv:2607.03995 v1 · 2026-07-04 · math.LO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBIFMBUZY6DGVHDR3FZC2HFCMS}

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	2026-07-07T02:18:52.318207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2850560699c7866a9c71d9722d1ca264a85001666a61fa773270b08d89b35236

Aliases

arxiv: 2607.03995 · arxiv_version: 2607.03995v1 · doi: 10.48550/arxiv.2607.03995 · pith_short_12: FBIFMBUZY6DG · pith_short_16: FBIFMBUZY6DGVHDR · pith_short_8: FBIFMBUZ

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/FBIFMBUZY6DGVHDR3FZC2HFCMS \
  | 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: 2850560699c7866a9c71d9722d1ca264a85001666a61fa773270b08d89b35236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27dc3e9bbb30d7459fa757e03968aaee5076aac000ec52c94f0f4e28edef9e9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-04T19:33:35Z",
    "title_canon_sha256": "2d449597b8cde235ae2bb0c2aa999032f6dff8cfa90612d1ea5dd7654e71796b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03995",
    "kind": "arxiv",
    "version": 1
  }
}