Pith Number

pith:LUDD6VZJ

pith:2009:LUDD6VZJX2PFQ6YTDVXBS4EBNW

not attested not anchored not stored refs pending

Presenting higher stacks as simplicial schemes

J.P.Pridham

arxiv:0905.4044 v4 · 2009-05-25 · math.AG · 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{LUDD6VZJX2PFQ6YTDVXBS4EBNW}

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	2026-05-18T01:26:58.862273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d063f5729be9e587b131d6e1970816db0bd5b7bf8a7ff79f2a7360f990f4b8d

Aliases

arxiv: 0905.4044 · arxiv_version: 0905.4044v4 · doi: 10.48550/arxiv.0905.4044 · pith_short_12: LUDD6VZJX2PF · pith_short_16: LUDD6VZJX2PFQ6YT · pith_short_8: LUDD6VZJ

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/LUDD6VZJX2PFQ6YTDVXBS4EBNW \
  | 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: 5d063f5729be9e587b131d6e1970816db0bd5b7bf8a7ff79f2a7360f990f4b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48af89d8e67c9bf44badb425cd878be9ac8d9241b4748c27eb7c3fac766d54e2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-25T16:25:18Z",
    "title_canon_sha256": "a4a61020f89799ae66f2f52eecfc035f6d0a63dbb4902b2eff1aca50ae089ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4044",
    "kind": "arxiv",
    "version": 4
  }
}