Pith Number

pith:EGD2AJGJ

pith:2015:EGD2AJGJM6ENOPTXFNHOQCJQK3

not attested not anchored not stored refs pending

Wave breaking in the Whitham equation

Vera Mikyoung Hur

arxiv:1506.04075 v3 · 2015-06-12 · 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{EGD2AJGJM6ENOPTXFNHOQCJQK3}

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	2026-05-18T00:40:46.948248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2187a024c96788d73e772b4ee8093056f56f3e822897a38b4f1acb9600b02698

Aliases

arxiv: 1506.04075 · arxiv_version: 1506.04075v3 · doi: 10.48550/arxiv.1506.04075 · pith_short_12: EGD2AJGJM6EN · pith_short_16: EGD2AJGJM6ENOPTX · pith_short_8: EGD2AJGJ

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/EGD2AJGJM6ENOPTXFNHOQCJQK3 \
  | 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: 2187a024c96788d73e772b4ee8093056f56f3e822897a38b4f1acb9600b02698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc87cc23768ae83e95392d617b463fb32ba330b8fedcec4f570f2cd61ed85226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-12T17:20:52Z",
    "title_canon_sha256": "b210cc896249c26f4491b2065e25747e8f8b7365fc93f008254d569d2c62f09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04075",
    "kind": "arxiv",
    "version": 3
  }
}