Pith Number

pith:7A4TLX5R

pith:2017:7A4TLX5RM6PRFNP62LDI22PA37

not attested not anchored not stored refs pending

A Small-Scale Modification to the Lensing Kernel

Boryana Hadzhiyska, David Spergel, Joanna Dunkley

arxiv:1711.03168 v3 · 2017-11-08 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7A4TLX5RM6PRFNP62LDI22PA37}

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	2026-07-05T01:06:45.733869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83935dfb1679f12b5fed2c68d69e0dfc513b92e9b9dada31642942e8a82efe5

Aliases

arxiv: 1711.03168 · arxiv_version: 1711.03168v3 · doi: 10.48550/arxiv.1711.03168 · pith_short_12: 7A4TLX5RM6PR · pith_short_16: 7A4TLX5RM6PRFNP6 · pith_short_8: 7A4TLX5R

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/7A4TLX5RM6PRFNP62LDI22PA37 \
  | 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: f83935dfb1679f12b5fed2c68d69e0dfc513b92e9b9dada31642942e8a82efe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd27e68283357c07eecc052c50ec594a5d6c538c023839242473410e866639c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-11-08T21:15:40Z",
    "title_canon_sha256": "2f747049b57bbfe3a2211c4f2cac5b84fb12362c4266f73c29cab4cbbff47bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03168",
    "kind": "arxiv",
    "version": 3
  }
}