Pith Number

pith:BLAFOT7G

pith:2021:BLAFOT7G4MCUT4ZRM7MNTVDWKM

not attested not anchored not stored refs pending

Exact and fast solution of ultrarelativistic multibunch instabilities in a constant gradient accelerator

Muhammad Shumail

arxiv:2104.07701 v1 · 2021-04-15 · physics.acc-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{BLAFOT7G4MCUT4ZRM7MNTVDWKM}

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	2026-07-05T02:32:37.012853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac0574fe6e30549f33167d8d9d47653295dba6fea5c2849876a252b4a498dfc

Aliases

arxiv: 2104.07701 · arxiv_version: 2104.07701v1 · doi: 10.48550/arxiv.2104.07701 · pith_short_12: BLAFOT7G4MCU · pith_short_16: BLAFOT7G4MCUT4ZR · pith_short_8: BLAFOT7G

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/BLAFOT7G4MCUT4ZRM7MNTVDWKM \
  | 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: 0ac0574fe6e30549f33167d8d9d47653295dba6fea5c2849876a252b4a498dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93fc9f3bdf945d69e2efcb8b1f75ff4ece0d366c3cf5c384fbfc47f0aee5e720",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.acc-ph",
    "submitted_at": "2021-04-15T18:11:28Z",
    "title_canon_sha256": "cadd568df2e57e4b27d2ec831e90400cea162296a71125877692584fc7ce8ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.07701",
    "kind": "arxiv",
    "version": 1
  }
}