Pith Number

pith:UOIQLTPV

pith:2010:UOIQLTPVWWPKXO45C2BYIXWRBY

not attested not anchored not stored refs pending

Fractional Harmonic Maps into Manifolds in odd dimension n>1

Francesca Da Lio

arxiv:1012.2741 v1 · 2010-12-13 · 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{UOIQLTPVWWPKXO45C2BYIXWRBY}

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	2026-05-18T04:33:27.885019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39105cdf5b59eabbb9d1683845ed10e08fb3bc7f3eea82648a4bcdb125958b5

Aliases

arxiv: 1012.2741 · arxiv_version: 1012.2741v1 · doi: 10.48550/arxiv.1012.2741 · pith_short_12: UOIQLTPVWWPK · pith_short_16: UOIQLTPVWWPKXO45 · pith_short_8: UOIQLTPV

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/UOIQLTPVWWPKXO45C2BYIXWRBY \
  | 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: a39105cdf5b59eabbb9d1683845ed10e08fb3bc7f3eea82648a4bcdb125958b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5742a4c3b355cece1bc05008dc04193648f83e77fbfb084ed25fd24cce90fa2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-13T14:37:24Z",
    "title_canon_sha256": "8a007c785aae66e9f64ece1960e027891698add3820cac3d65c2952945b7569b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2741",
    "kind": "arxiv",
    "version": 1
  }
}