Pith Number

pith:VCTQMDWC

pith:2014:VCTQMDWCXMRYENBCBOST57AXVN

not attested not anchored not stored refs pending

Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum

Xumin Gu, Zhen Lei

arxiv:1405.4612 v1 · 2014-05-19 · 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{VCTQMDWCXMRYENBCBOST57AXVN}

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	2026-05-18T02:51:35.097464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a7060ec2bb238234220ba53efc17ab7a63ee5cbf2878c65c6986c64145e6d7

Aliases

arxiv: 1405.4612 · arxiv_version: 1405.4612v1 · doi: 10.48550/arxiv.1405.4612 · pith_short_12: VCTQMDWCXMRY · pith_short_16: VCTQMDWCXMRYENBC · pith_short_8: VCTQMDWC

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/VCTQMDWCXMRYENBCBOST57AXVN \
  | 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: a8a7060ec2bb238234220ba53efc17ab7a63ee5cbf2878c65c6986c64145e6d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec41e7f978a5b619076be85ce9785b2f13feb43b14c6b4ecb0453ffd0b29abc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-19T06:12:20Z",
    "title_canon_sha256": "cb0f51a04749d64279050a4e65be8b0aef2e3a5e96646070bce6b778acb53477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4612",
    "kind": "arxiv",
    "version": 1
  }
}