Pith Number

pith:5E5KOIDH

pith:2011:5E5KOIDHJPBMAQGG7IXTHK43J7

not attested not anchored not stored refs pending

Splitting of 3-Manifolds and Rigidity of Area-Minimising Surfaces

Mario Micallef, Vlad Moraru

arxiv:1107.5346 v3 · 2011-07-26 · 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{5E5KOIDHJPBMAQGG7IXTHK43J7}

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	2026-05-18T04:16:11.445249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e93aa720674bc2c040c6fa2f33ab9b4fff834b08ef634c2f571a5a7930dcd3af

Aliases

arxiv: 1107.5346 · arxiv_version: 1107.5346v3 · doi: 10.48550/arxiv.1107.5346 · pith_short_12: 5E5KOIDHJPBM · pith_short_16: 5E5KOIDHJPBMAQGG · pith_short_8: 5E5KOIDH

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/5E5KOIDHJPBMAQGG7IXTHK43J7 \
  | 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: e93aa720674bc2c040c6fa2f33ab9b4fff834b08ef634c2f571a5a7930dcd3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d77f0d09e6523a4c5a17efdbed0bf4ff7c759ff63fa1badc89c3ff14932551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-26T22:11:27Z",
    "title_canon_sha256": "474b96faf94a554df6084df2cf2e46de02f9b0bc03e38b62f1c46b58f53902e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5346",
    "kind": "arxiv",
    "version": 3
  }
}