Pith Number

pith:VLEZ4XZW

pith:2016:VLEZ4XZW6FYJYFMP6IHYUNX73J

not attested not anchored not stored refs pending

Tensor Minkowski Functionals: first application to the CMB

Pravabati Chingangbam, Vidhya Ganesan

arxiv:1608.07452 v2 · 2016-08-26 · 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{VLEZ4XZW6FYJYFMP6IHYUNX73J}

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	2026-05-18T00:41:25.989058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac99e5f36f1709c158ff20f8a36ffda445f823cd4cd4701229b28518414ae10

Aliases

arxiv: 1608.07452 · arxiv_version: 1608.07452v2 · doi: 10.48550/arxiv.1608.07452 · pith_short_12: VLEZ4XZW6FYJ · pith_short_16: VLEZ4XZW6FYJYFMP · pith_short_8: VLEZ4XZW

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/VLEZ4XZW6FYJYFMP6IHYUNX73J \
  | 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: aac99e5f36f1709c158ff20f8a36ffda445f823cd4cd4701229b28518414ae10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b7e01266a2722620fe80491e5dd24df74547b30cc29f8d02de6c31107d15e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-08-26T13:27:57Z",
    "title_canon_sha256": "e8f44be2a66d9eaa3a479e760be20aa7a7412d53bd347162ba5bc9854a586916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07452",
    "kind": "arxiv",
    "version": 2
  }
}