Pith Number

pith:BMQ5MDX3

pith:2015:BMQ5MDX36RZFXTTIO5UCWPYAXG

not attested not anchored not stored refs pending

Central extensions of mapping class groups from characteristic classes

Alessandro Valentino, Domenico Fiorenza, Urs Schreiber

arxiv:1503.00888 v2 · 2015-03-03 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMQ5MDX36RZFXTTIO5UCWPYAXG}

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	2026-05-18T00:10:24.796309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b21d60efbf4725bce6877682b3f00b99da6e73f812c5803d86fe479e87b02c4

Aliases

arxiv: 1503.00888 · arxiv_version: 1503.00888v2 · doi: 10.48550/arxiv.1503.00888 · pith_short_12: BMQ5MDX36RZF · pith_short_16: BMQ5MDX36RZFXTTI · pith_short_8: BMQ5MDX3

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/BMQ5MDX36RZFXTTIO5UCWPYAXG \
  | 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: 0b21d60efbf4725bce6877682b3f00b99da6e73f812c5803d86fe479e87b02c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96276ea993ea5b31110773ababd8560284c0dab8d1648b1717e7a992b46b2a4",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-03T10:38:56Z",
    "title_canon_sha256": "14a500db7a21931c8d4747bba36f6dd9ba898b3a1ee712edf6bf8d187cd4297c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00888",
    "kind": "arxiv",
    "version": 2
  }
}