Pith Number

pith:IWVOLIIL

pith:2013:IWVOLIIL6Q2ZAJCZLRIMIHJF2B

not attested not anchored not stored refs pending

Harmonic Vector Fields on Space Forms

C.M. Wood, E. Loubeau, M. Benyounes

arxiv:1301.6075 v1 · 2013-01-25 · 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{IWVOLIIL6Q2ZAJCZLRIMIHJF2B}

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	2026-05-18T03:35:27.199539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45aae5a10bf4359024595c50c41d25d05b19dfeb84d9f3cc26ed7eb808b12c82

Aliases

arxiv: 1301.6075 · arxiv_version: 1301.6075v1 · doi: 10.48550/arxiv.1301.6075 · pith_short_12: IWVOLIIL6Q2Z · pith_short_16: IWVOLIIL6Q2ZAJCZ · pith_short_8: IWVOLIIL

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/IWVOLIIL6Q2ZAJCZLRIMIHJF2B \
  | 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: 45aae5a10bf4359024595c50c41d25d05b19dfeb84d9f3cc26ed7eb808b12c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "750addac68d163bc8dd6295e5015276360de073aa87b7beb56c2ed7fb2bfc6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-25T15:56:29Z",
    "title_canon_sha256": "cf88ea0ee94c84a2a09c05b77d07853fef5830d961fce8431b2e4ee2d6a0fb24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6075",
    "kind": "arxiv",
    "version": 1
  }
}