Pith Number

pith:WCOA4MLJ

pith:2026:WCOA4MLJZS34E5KHNKHW73C74H

not attested not anchored not stored refs pending

High-Resolution Numerical Calculations of GRB Afterglow Plateaus arising from Stratified Ejecta

Paul C. Duffell, Ranadeep Ghosh Dastidar

arxiv:2607.12967 v1 · 2026-07-14 · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCOA4MLJZS34E5KHNKHW73C74H}

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	2026-07-15T01:22:28.208763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09c0e3169ccb7c275476a8f6fec5fe1eb2b34c90c944a9f142ac5fbd9161fa9

Aliases

arxiv: 2607.12967 · arxiv_version: 2607.12967v1 · doi: 10.48550/arxiv.2607.12967 · pith_short_12: WCOA4MLJZS34 · pith_short_16: WCOA4MLJZS34E5KH · pith_short_8: WCOA4MLJ

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/WCOA4MLJZS34E5KHNKHW73C74H \
  | 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: b09c0e3169ccb7c275476a8f6fec5fe1eb2b34c90c944a9f142ac5fbd9161fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43733963836430c9fee029dba848f56f395005257bbb4b0b8d6bcc58b1924fe5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-07-14T17:07:40Z",
    "title_canon_sha256": "766e7b08b4ae9d078c7ab65cc3674de9f4e1ae7e4424ac07545f198bc322a823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12967",
    "kind": "arxiv",
    "version": 1
  }
}