Pith Number

pith:PMSLH6AT

pith:2020:PMSLH6AT46PFJMDTKXADERZAEA

not attested not anchored not stored refs pending

Marginally trapped surfaces in a perturbed Schwarzschild spacetime

Pengyu Le

arxiv:2007.06170 v2 · 2020-07-13 · 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{PMSLH6AT46PFJMDTKXADERZAEA}

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	2026-07-05T04:38:40.570480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b24b3f813e79e54b07355c03247202016988ae9abc82b95a4981a0762a23927

Aliases

arxiv: 2007.06170 · arxiv_version: 2007.06170v2 · doi: 10.48550/arxiv.2007.06170 · pith_short_12: PMSLH6AT46PF · pith_short_16: PMSLH6AT46PFJMDT · pith_short_8: PMSLH6AT

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/PMSLH6AT46PFJMDTKXADERZAEA \
  | 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: 7b24b3f813e79e54b07355c03247202016988ae9abc82b95a4981a0762a23927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9c1dc1887fe35ccea5373d9d44a2cc7cc6de41975543ea1cdc48fabb98f696",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-13T03:31:10Z",
    "title_canon_sha256": "4a84af43b86490bedad8abdbb15d36e3e80b1cdc6adce63a276731aade3e4662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06170",
    "kind": "arxiv",
    "version": 2
  }
}