Pith Number

pith:ZMXP5INU

pith:2013:ZMXP5INUMGKCVMOOEYBS2Y35JY

not attested not anchored not stored refs pending

Biharmonic submanifolds into ellipsoids

A. Ratto, S. Montaldo

arxiv:1309.1601 v1 · 2013-09-06 · 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{ZMXP5INUMGKCVMOOEYBS2Y35JY}

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	2026-05-18T03:13:59.094797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2efea1b461942ab1ce26032d637d4e2bb3cd9523bfe958a77c6856a1f5d6b5

Aliases

arxiv: 1309.1601 · arxiv_version: 1309.1601v1 · doi: 10.48550/arxiv.1309.1601 · pith_short_12: ZMXP5INUMGKC · pith_short_16: ZMXP5INUMGKCVMOO · pith_short_8: ZMXP5INU

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/ZMXP5INUMGKCVMOOEYBS2Y35JY \
  | 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: cb2efea1b461942ab1ce26032d637d4e2bb3cd9523bfe958a77c6856a1f5d6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81faf00a0eed6e8e4523fcd4c42aca5933bf520a46d7db220e6189ca72a89ba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-06T11:09:20Z",
    "title_canon_sha256": "7b9b823bc1ef8e3ded40f74e7df1a076fb0e86aeb269bc6d4c8e691252ac093a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1601",
    "kind": "arxiv",
    "version": 1
  }
}