Pith Number

pith:W2CACW2S

pith:2011:W2CACW2STN36GBI4VAYAWZ4RZY

not attested not anchored not stored refs pending

Scattering for the beam equation

Changxing Miao, Yifei Wu

arxiv:1108.0825 v2 · 2011-08-03 · 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{W2CACW2STN36GBI4VAYAWZ4RZY}

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	2026-05-18T03:40:25.834024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b684015b529b77e3051ca8300b6791ce046f6c1fa32e6d4ade63293a0dce6c99

Aliases

arxiv: 1108.0825 · arxiv_version: 1108.0825v2 · doi: 10.48550/arxiv.1108.0825 · pith_short_12: W2CACW2STN36 · pith_short_16: W2CACW2STN36GBI4 · pith_short_8: W2CACW2S

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/W2CACW2STN36GBI4VAYAWZ4RZY \
  | 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: b684015b529b77e3051ca8300b6791ce046f6c1fa32e6d4ade63293a0dce6c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc1ce7075444c7f9c848d4450e2dcb8bae33afcc01c5089f518faf3df782cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-03T11:42:15Z",
    "title_canon_sha256": "5dbb74eef5d6451631e3aeb6219c8b68103d6e9e2f99c2d01409bb21c330084e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0825",
    "kind": "arxiv",
    "version": 2
  }
}