Pith Number

pith:4REQOLPT

pith:2013:4REQOLPT6X5JRDXTCBVXMSNFAU

not attested not anchored not stored refs pending

A local support theorem for the radiation fields on asymptotically Euclidean manifolds

Antonio Sa Barreto

arxiv:1310.7986 v1 · 2013-10-30 · 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{4REQOLPT6X5JRDXTCBVXMSNFAU}

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	2026-05-18T03:08:26.366423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e449072df3f5fa988ef3106b7649a5050a4e25995253f517a12537aa4e61b690

Aliases

arxiv: 1310.7986 · arxiv_version: 1310.7986v1 · doi: 10.48550/arxiv.1310.7986 · pith_short_12: 4REQOLPT6X5J · pith_short_16: 4REQOLPT6X5JRDXT · pith_short_8: 4REQOLPT

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/4REQOLPT6X5JRDXTCBVXMSNFAU \
  | 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: e449072df3f5fa988ef3106b7649a5050a4e25995253f517a12537aa4e61b690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e61447cc25c3eb75142ece7f767fced37b0029b56c046cd8b3caa3207c7593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-30T00:03:01Z",
    "title_canon_sha256": "9701327c7ca51f9e04b94c2719e4855d16eb10266eebf6ca9ce8a3ca0955040f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7986",
    "kind": "arxiv",
    "version": 1
  }
}