Pith Number

pith:MDR62NNR

pith:2000:MDR62NNRIVC7EHP4R76GO6XLRP

not attested not anchored not stored refs pending

Lower Limits on Lorentz Factors in Gamma Ray Bursts

Re'em Sari (CALTECH), Yoram Lithwick

arxiv:astro-ph/0011508 v2 · 2000-11-28 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDR62NNRIVC7EHP4R76GO6XLRP}

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.

Cited by

1 paper in Pith

Gamma-ray bursts: what do we know today that we did not know 10 years ago?

Receipt and verification

First computed	2026-07-04T16:17:40.914105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e3ed35b14545f21dfc8ffc677aeb8be916a0e3b0598b065973213fade81899

Aliases

arxiv: astro-ph/0011508 · arxiv_version: astro-ph/0011508v2 · doi: 10.48550/arxiv.astro-ph/0011508 · pith_short_12: MDR62NNRIVC7 · pith_short_16: MDR62NNRIVC7EHP4 · pith_short_8: MDR62NNR

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/MDR62NNRIVC7EHP4R76GO6XLRP \
  | 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: 60e3ed35b14545f21dfc8ffc677aeb8be916a0e3b0598b065973213fade81899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "327f70f1370e56a9b9130c4ae9fa33ccacd978caa2986bccdc40533d1f115547",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-11-28T01:57:53Z",
    "title_canon_sha256": "5761683332ca03d742140ac54f73ff426866ff336623d1140165b6ecaeb2199e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0011508",
    "kind": "arxiv",
    "version": 2
  }
}