Pith Number

pith:X5PDHXOO

pith:2014:X5PDHXOO6PTTO2FN5G7WMDUAUZ

not attested not anchored not stored refs pending

On the Complexity of Immersed Normal Surfaces

Arnaud de Mesmay, Benjamin A. Burton, \'Eric Colin de Verdi\`ere

arxiv:1412.4988 v1 · 2014-12-16 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5PDHXOO6PTTO2FN5G7WMDUAUZ}

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	2026-05-18T01:15:47.121741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5e33ddcef3e73768ade9bf660e80a65601691b5d627b92a0176ba7a847627e

Aliases

arxiv: 1412.4988 · arxiv_version: 1412.4988v1 · doi: 10.48550/arxiv.1412.4988 · pith_short_12: X5PDHXOO6PTT · pith_short_16: X5PDHXOO6PTTO2FN · pith_short_8: X5PDHXOO

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/X5PDHXOO6PTTO2FN5G7WMDUAUZ \
  | 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: bf5e33ddcef3e73768ade9bf660e80a65601691b5d627b92a0176ba7a847627e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5446133b80c130ae141e59af0f441e2bc065549a34ce6e23fd93ec0c55d6b0",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-16T13:03:16Z",
    "title_canon_sha256": "e2e62e91a7dc05da89fe99c8cfe0dd40782aa73130acddf537f8d18aa1b498c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4988",
    "kind": "arxiv",
    "version": 1
  }
}