Pith Number

pith:N7WWMUBD

pith:2013:N7WWMUBDVHCFMODSVETLAVCT6N

not attested not anchored not stored refs pending

Finite group actions on 4-manifolds with nonzero Euler characteristic

Ignasi Mundet i Riera

arxiv:1312.3149 v3 · 2013-12-11 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7WWMUBDVHCFMODSVETLAVCT6N}

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	2026-05-18T01:34:42.337630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fed665023a9c4563872a926b05453f3584b1efaeb06c02f08d49ce746306529

Aliases

arxiv: 1312.3149 · arxiv_version: 1312.3149v3 · doi: 10.48550/arxiv.1312.3149 · pith_short_12: N7WWMUBDVHCF · pith_short_16: N7WWMUBDVHCFMODS · pith_short_8: N7WWMUBD

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/N7WWMUBDVHCFMODSVETLAVCT6N \
  | 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: 6fed665023a9c4563872a926b05453f3584b1efaeb06c02f08d49ce746306529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5cf53126fad4759828735eb44a9644f3559777d9255000c6b58ff9d78b40c49",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-11T12:59:45Z",
    "title_canon_sha256": "55f7fbd9fa95151416a2023bff24b1c4dda3d6ff1bd710b6831c8fabdf5df716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3149",
    "kind": "arxiv",
    "version": 3
  }
}