Pith Number

pith:UMDSAI7V

pith:2018:UMDSAI7VK4XQJUSVPUWTZQOJPL

not attested not anchored not stored refs pending

Formal moduli problems and formal derived stacks

Damien Calaque, Julien Grivaux

arxiv:1802.09556 v2 · 2018-02-26 · 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{UMDSAI7VK4XQJUSVPUWTZQOJPL}

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	2026-05-17T23:48:11.801895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3072023f5572f04d2557d2d3cc1c97ae0834d3f47dfd7004ef220a0d697e582

Aliases

arxiv: 1802.09556 · arxiv_version: 1802.09556v2 · doi: 10.48550/arxiv.1802.09556 · pith_short_12: UMDSAI7VK4XQ · pith_short_16: UMDSAI7VK4XQJUSV · pith_short_8: UMDSAI7V

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/UMDSAI7VK4XQJUSVPUWTZQOJPL \
  | 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: a3072023f5572f04d2557d2d3cc1c97ae0834d3f47dfd7004ef220a0d697e582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160a77eeaa12b117aa3055bdc5d0ce60e3548a0831a5899e77e9593a03b1e553",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-26T19:01:43Z",
    "title_canon_sha256": "95f5095d408246ba90c88d5c5ef488d46b5aa7d60a7d72ca5735e64a65027cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09556",
    "kind": "arxiv",
    "version": 2
  }
}