Pith Number

pith:2DNQ6XOY

pith:2019:2DNQ6XOYLC2WQV2NV5TDPHW2MQ

not attested not anchored not stored refs pending

Formation of singularities for the Relativistic Euler equations

Nikolaos Athanasiou, Shengguo Zhu

arxiv:1903.03355 v2 · 2019-03-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DNQ6XOYLC2WQV2NV5TDPHW2MQ}

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	2026-05-17T23:51:04.846813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0db0f5dd858b568574daf66379eda640f92e936b3907ec4b92d281d5ca9ae44

Aliases

arxiv: 1903.03355 · arxiv_version: 1903.03355v2 · doi: 10.48550/arxiv.1903.03355 · pith_short_12: 2DNQ6XOYLC2W · pith_short_16: 2DNQ6XOYLC2WQV2N · pith_short_8: 2DNQ6XOY

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/2DNQ6XOYLC2WQV2NV5TDPHW2MQ \
  | 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: d0db0f5dd858b568574daf66379eda640f92e936b3907ec4b92d281d5ca9ae44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c591c1bdf132c963b9e569dd602e3d16b2022e7e540e0b4fb9ab69bccc35c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-08T10:23:58Z",
    "title_canon_sha256": "d282d82f7e45ee1708335d2fb43131674d14f263aceed83c6d0297842e72ba72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03355",
    "kind": "arxiv",
    "version": 2
  }
}