Pith Number

pith:6772DEJ3

pith:2014:6772DEJ32WF2EIVT4EXIURJOWG

not attested not anchored not stored refs pending

Free Boundary Problems in Shock Reflection/Diffraction and Related Transonic Flow Problems

Gui-Qiang G. Chen, Mikhail Feldman

arxiv:1412.1509 v1 · 2014-12-03 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6772DEJ32WF2EIVT4EXIURJOWG}

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	2026-05-18T01:20:47.250491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ffa1913bd58ba222b3e12e8a452eb1aeb1b62d5f909f4a716999ceacb4e474

Aliases

arxiv: 1412.1509 · arxiv_version: 1412.1509v1 · doi: 10.48550/arxiv.1412.1509 · pith_short_12: 6772DEJ32WF2 · pith_short_16: 6772DEJ32WF2EIVT · pith_short_8: 6772DEJ3

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/6772DEJ32WF2EIVT4EXIURJOWG \
  | 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: f7ffa1913bd58ba222b3e12e8a452eb1aeb1b62d5f909f4a716999ceacb4e474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6833b1b8f35a49924c99faf880d3ce0b0fdd2edb4b25ba013cd2c12edca0d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-03T22:30:04Z",
    "title_canon_sha256": "b988c8234803d417f67f32a03fa7abd262ab00a7cfc842bccb7dc753a7f7989d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1509",
    "kind": "arxiv",
    "version": 1
  }
}