Pith Number

pith:ZJJUALSR

pith:2021:ZJJUALSRZ5V3EI2DAUYWKAGHAV

not attested not anchored not stored refs pending

Combustion Instability of a Multi-injector Rocket Engine Using the Flamelet Progress Variable Model

Feng Liu, Juntao Xiong, Lei Zhan, Tuan M. Nguyen, William A. Sirignano

arxiv:2108.12046 v2 · 2021-08-26 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJJUALSRZ5V3EI2DAUYWKAGHAV}

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	2026-07-05T03:10:55.328850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca53402e51cf6bb2234305316500c7054174a03c531b5e0d598030e81236a6b9

Aliases

arxiv: 2108.12046 · arxiv_version: 2108.12046v2 · doi: 10.48550/arxiv.2108.12046 · pith_short_12: ZJJUALSRZ5V3 · pith_short_16: ZJJUALSRZ5V3EI2D · pith_short_8: ZJJUALSR

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/ZJJUALSRZ5V3EI2DAUYWKAGHAV \
  | 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: ca53402e51cf6bb2234305316500c7054174a03c531b5e0d598030e81236a6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00cb3cb0970a805cb2053d6bf5821e3308571eac510f3d40dbab9f0ada78ad9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-08-26T21:56:40Z",
    "title_canon_sha256": "0cf0f091bc8e0c8061a5792450969b101844cce02d7c86e887fef4612b2524c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12046",
    "kind": "arxiv",
    "version": 2
  }
}