Pith Number

pith:IHMZVLAK

pith:2012:IHMZVLAKNUZVDJ3TV4F53PILZK

not attested not anchored not stored refs pending

Compressible Flow and Euler's Equations

Demetrios Christodoulou, Shuang Miao

arxiv:1212.2867 v2 · 2012-12-12 · math.AP · math-ph · math.MP · 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{IHMZVLAKNUZVDJ3TV4F53PILZK}

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	2026-05-18T03:26:32.153553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41d99aac0a6d3351a773af0bddbd0bcaa3fcfbfcc7e51af934f93e662a78507b

Aliases

arxiv: 1212.2867 · arxiv_version: 1212.2867v2 · doi: 10.48550/arxiv.1212.2867 · pith_short_12: IHMZVLAKNUZV · pith_short_16: IHMZVLAKNUZVDJ3T · pith_short_8: IHMZVLAK

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/IHMZVLAKNUZVDJ3TV4F53PILZK \
  | 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: 41d99aac0a6d3351a773af0bddbd0bcaa3fcfbfcc7e51af934f93e662a78507b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74bcbd1173592791ab3a6c54d131d99907b691c9cdc48365f778864ce27bde5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-12T16:29:28Z",
    "title_canon_sha256": "e6368a2de154306207e3a4832e579587ab8818ce6dccfa013c0dc5e44fab1f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2867",
    "kind": "arxiv",
    "version": 2
  }
}