Pith Number

pith:NWCATMXP

pith:2019:NWCATMXPDFZWR3ATXVVH3LEBZA

not attested not anchored not stored refs pending

Differential graded bocses and $A_{\infty}$-modules

E. P\'erez, L. Salmer\'on, R. Bautista

arxiv:1906.09476 v1 · 2019-06-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWCATMXPDFZWR3ATXVVH3LEBZA}

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	2026-05-17T23:42:37.900278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8409b2ef197368ec13bd6a7dac81c8323d076fa12ba9a138ffaa967a03fffd

Aliases

arxiv: 1906.09476 · arxiv_version: 1906.09476v1 · doi: 10.48550/arxiv.1906.09476 · pith_short_12: NWCATMXPDFZW · pith_short_16: NWCATMXPDFZWR3AT · pith_short_8: NWCATMXP

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/NWCATMXPDFZWR3ATXVVH3LEBZA \
  | 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: 6d8409b2ef197368ec13bd6a7dac81c8323d076fa12ba9a138ffaa967a03fffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb06a010309db6e9f7457c69210ce85d6b938fb65025ea283e280e36763cdea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-06-22T17:49:01Z",
    "title_canon_sha256": "a0a09ba570bebc7d7c9f68fa56e18a11abcf149979aebf39619784cf2ec1fe9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09476",
    "kind": "arxiv",
    "version": 1
  }
}