Pith Number

pith:DABWO7XY

pith:2018:DABWO7XYH52L3PRX4AVZUFTY4Q

not attested not anchored not stored refs pending

Integral and rational mapping classes

Fedor Manin, Shmuel Weinberger

arxiv:1802.05784 v2 · 2018-02-15 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DABWO7XYH52L3PRX4AVZUFTY4Q}

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	2026-07-05T01:59:49.435008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1803677ef83f74bdbe37e02b9a1678e40c705dc1dc62ff682a61b6dec4389c9e

Aliases

arxiv: 1802.05784 · arxiv_version: 1802.05784v2 · doi: 10.48550/arxiv.1802.05784 · pith_short_12: DABWO7XYH52L · pith_short_16: DABWO7XYH52L3PRX · pith_short_8: DABWO7XY

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/DABWO7XYH52L3PRX4AVZUFTY4Q \
  | 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: 1803677ef83f74bdbe37e02b9a1678e40c705dc1dc62ff682a61b6dec4389c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30921100394b63f260762ef4099db4dca9333f2b07343b187c4448c80c813a51",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-02-15T22:53:39Z",
    "title_canon_sha256": "1137e323547669888f8d08548d36b2f1567a7b89262111ee16838ed22e33fb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05784",
    "kind": "arxiv",
    "version": 2
  }
}