Pith Number

pith:XMT3GZSJ

pith:2014:XMT3GZSJGXFDBTFB6VKI66RP2R

not attested not anchored not stored refs pending

The Euler characteristic of a surface from its Fourier analysis in one direction

Nguyen Viet Dang

arxiv:1408.1115 v2 · 2014-08-05 · math.GT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMT3GZSJGXFDBTFB6VKI66RP2R}

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	2026-05-18T02:43:00.295342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb27b3664935ca30cca1f5548f7a2fd460bae292c9db5d31599a015268b19787

Aliases

arxiv: 1408.1115 · arxiv_version: 1408.1115v2 · doi: 10.48550/arxiv.1408.1115 · pith_short_12: XMT3GZSJGXFD · pith_short_16: XMT3GZSJGXFDBTFB · pith_short_8: XMT3GZSJ

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/XMT3GZSJGXFDBTFB6VKI66RP2R \
  | 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: bb27b3664935ca30cca1f5548f7a2fd460bae292c9db5d31599a015268b19787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41058a986a34503c82c9fe9b24d7574b5a4816674ead4181d9586e96f8941b3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-05T21:10:28Z",
    "title_canon_sha256": "4f75fd95ac413db3b4c9352a6fa5d7313776ffe1913265acac90e73c09d300ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1115",
    "kind": "arxiv",
    "version": 2
  }
}