Pith Number

pith:B7LUALC4

pith:2024:B7LUALC4BROOPMHWHLXF7QZ77Y

not attested not anchored not stored refs pending

Injectivity theorems and cubical descent for schemes, stacks, and analytic spaces

Takumi Murayama

arxiv:2406.10800 v1 · 2024-06-16 · math.AG · math.CV · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7LUALC4BROOPMHWHLXF7QZ77Y}

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	2026-07-05T08:32:44.500982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd7402c5c0c5ce7b0f63aee5fc33ffe18d292ca498f0abf61a97974d763f166

Aliases

arxiv: 2406.10800 · arxiv_version: 2406.10800v1 · doi: 10.48550/arxiv.2406.10800 · pith_short_12: B7LUALC4BROO · pith_short_16: B7LUALC4BROOPMHW · pith_short_8: B7LUALC4

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/B7LUALC4BROOPMHWHLXF7QZ77Y \
  | 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: 0fd7402c5c0c5ce7b0f63aee5fc33ffe18d292ca498f0abf61a97974d763f166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f256fa2cca1085e710c55690ee03517365375a29c4edb906bf5b834a0d4bcd0b",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-16T04:32:21Z",
    "title_canon_sha256": "5b855635278675f15b468f52650f1e59ad8b75d53fa05b9a07b1ea2d6b93b4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.10800",
    "kind": "arxiv",
    "version": 1
  }
}