Pith Number

pith:DCTW3ABR

pith:2011:DCTW3ABRVVNWSJTK5HEQXTM366

not attested not anchored not stored refs pending

Scattering rigidity with trapped geodesics

Christopher B. Croke

arxiv:1103.5511 v2 · 2011-03-28 · 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{DCTW3ABRVVNWSJTK5HEQXTM366}

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	2026-05-17T23:53:36.663260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a76d8031ad5b69266ae9c90bcd9bf7ab9443a71c5c2326db5384e4df5fb5da

Aliases

arxiv: 1103.5511 · arxiv_version: 1103.5511v2 · doi: 10.48550/arxiv.1103.5511 · pith_short_12: DCTW3ABRVVNW · pith_short_16: DCTW3ABRVVNWSJTK · pith_short_8: DCTW3ABR

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/DCTW3ABRVVNWSJTK5HEQXTM366 \
  | 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: 18a76d8031ad5b69266ae9c90bcd9bf7ab9443a71c5c2326db5384e4df5fb5da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704be62c9b3e6346bcfcf03e38b7554c0362e9286732c137c097233360c79d2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-28T23:52:45Z",
    "title_canon_sha256": "a9d1b776a036ed6864b13ffc9f2bc6d05bf20ae6479a2fac68c3ebe3fc93af7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5511",
    "kind": "arxiv",
    "version": 2
  }
}