Pith Number

pith:YMSU4N44

pith:2015:YMSU4N443IDZNX2WXKFK4XVT7Z

not attested not anchored not stored refs pending

Scattering data versus lens data on surfaces

Christopher B. Croke, Haomin Wen

arxiv:1508.03081 v1 · 2015-08-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMSU4N443IDZNX2WXKFK4XVT7Z}

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	2026-05-18T01:35:21.779240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3254e379cda0796df56ba8aae5eb3fe55bd5d7be6cc806addd44c577ae3d4a6

Aliases

arxiv: 1508.03081 · arxiv_version: 1508.03081v1 · doi: 10.48550/arxiv.1508.03081 · pith_short_12: YMSU4N443IDZ · pith_short_16: YMSU4N443IDZNX2W · pith_short_8: YMSU4N44

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/YMSU4N443IDZNX2WXKFK4XVT7Z \
  | 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: c3254e379cda0796df56ba8aae5eb3fe55bd5d7be6cc806addd44c577ae3d4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d45729e440a8dfbe07737af565a2bcfe584593c5a236176b84202e72311e069",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-12T22:04:34Z",
    "title_canon_sha256": "5e06bcc039ed28ffd97e74f7dbdf29640fb59acff86e0721a1aa73e16bcc0d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03081",
    "kind": "arxiv",
    "version": 1
  }
}