Pith Number

pith:4Z4DDGZX

pith:2015:4Z4DDGZX6QALBUKOVZI7W4BZAK

not attested not anchored not stored refs pending

Spacetime with zero point length is two-dimensional at the Planck scale

Dawood Kothawala, Sumanta Chakraborty, T. Padmanabhan

arxiv:1507.05669 v3 · 2015-07-16 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Z4DDGZX6QALBUKOVZI7W4BZAK}

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.

Cited by

1 paper in Pith

On Padmanabhan's duality invariance and the quantum of length

Receipt and verification

First computed	2026-05-18T01:17:33.050886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed

Aliases

arxiv: 1507.05669 · arxiv_version: 1507.05669v3 · doi: 10.48550/arxiv.1507.05669 · pith_short_12: 4Z4DDGZX6QAL · pith_short_16: 4Z4DDGZX6QALBUKO · pith_short_8: 4Z4DDGZX

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/4Z4DDGZX6QALBUKOVZI7W4BZAK \
  | 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: e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f1d84233de4a799811607dc37bbc55c0999719b91f09e581577f46f918ebe9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-16T20:00:58Z",
    "title_canon_sha256": "217db708cc5421585979aca8179dde1681272e75af6a88df0ffee3548da6f08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05669",
    "kind": "arxiv",
    "version": 3
  }
}