Pith Number

pith:E3RMW4KG

pith:2013:E3RMW4KGQ26FY4ZLJAD6OFBBC5

not attested not anchored not stored refs pending

Derived functors of the divided power functors

Antoine Touz\'e, Lawrence Breen, Roman Mikhailov

arxiv:1312.5676 v2 · 2013-12-19 · math.AT · 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{E3RMW4KGQ26FY4ZLJAD6OFBBC5}

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	2026-05-18T02:58:23.186363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e2cb714686bc5c732b4807e71421174e18c8f048bad3f7dcdf9126df3779a5

Aliases

arxiv: 1312.5676 · arxiv_version: 1312.5676v2 · doi: 10.48550/arxiv.1312.5676 · pith_short_12: E3RMW4KGQ26F · pith_short_16: E3RMW4KGQ26FY4ZL · pith_short_8: E3RMW4KG

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/E3RMW4KGQ26FY4ZLJAD6OFBBC5 \
  | 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: 26e2cb714686bc5c732b4807e71421174e18c8f048bad3f7dcdf9126df3779a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beffa308ea8ae08a9d08a675ce8a27f4480164d81a2e7fcd372ee139c09f63c8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-19T18:08:56Z",
    "title_canon_sha256": "2903ff9178fdcae55a6c12378020f5f173b6ea60cbd14e72e10bd6bd218c9c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5676",
    "kind": "arxiv",
    "version": 2
  }
}