Pith Number

pith:6QEKIFAD

pith:2026:6QEKIFADUVBBLUYG6LH54JMQTA

not attested not anchored not stored refs pending

Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data

Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau

arxiv:2608.09746 v1 · 2026-08-10 · gr-qc · 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{6QEKIFADUVBBLUYG6LH54JMQTA}

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	2026-08-11T02:24:56.068768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f408a41403a54215d306f2cfde2590981ee949f83df5bce836612da5c70accff

Aliases

arxiv: 2608.09746 · arxiv_version: 2608.09746v1 · doi: 10.48550/arxiv.2608.09746 · pith_short_12: 6QEKIFADUVBB · pith_short_16: 6QEKIFADUVBBLUYG · pith_short_8: 6QEKIFAD

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/6QEKIFADUVBBLUYG6LH54JMQTA \
  | 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: f408a41403a54215d306f2cfde2590981ee949f83df5bce836612da5c70accff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075a7130ff07c0abad6e143849437ea1052b9acafcbb1d8eb6e3ecab1fd68b56",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-10T15:40:51Z",
    "title_canon_sha256": "aa4bd9d07f648a4e10eb172506467badda703ffea90a8a62746195ecf72da427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09746",
    "kind": "arxiv",
    "version": 1
  }
}