Pith Number

pith:TLMR7FOQ

pith:2016:TLMR7FOQTM6TO6PSCAXRCO4Z73

not attested not anchored not stored refs pending

Santalo's formula and stability of trapping sets of positive measure

Luchezar Stoyanov

arxiv:1601.03828 v2 · 2016-01-15 · math.DS · 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{TLMR7FOQTM6TO6PSCAXRCO4Z73}

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	2026-05-18T01:02:28.848510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad91f95d09b3d3779f2102f113b99fec51de2bef0808fc5c8e819fbf0fb8f8f

Aliases

arxiv: 1601.03828 · arxiv_version: 1601.03828v2 · doi: 10.48550/arxiv.1601.03828 · pith_short_12: TLMR7FOQTM6T · pith_short_16: TLMR7FOQTM6TO6PS · pith_short_8: TLMR7FOQ

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/TLMR7FOQTM6TO6PSCAXRCO4Z73 \
  | 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: 9ad91f95d09b3d3779f2102f113b99fec51de2bef0808fc5c8e819fbf0fb8f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0859a5ba3dbb9299893e9a9bf1eef52effa85c1bbf6de2dbd8689c240364d976",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-15T07:06:20Z",
    "title_canon_sha256": "473235dbf761954a1ff41c9f4e08603521c1efa8203a066abafcd2c54210579a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03828",
    "kind": "arxiv",
    "version": 2
  }
}