Pith Number

pith:ZMEFTGIV

pith:2015:ZMEFTGIVZN4D2E54GD3M5RGLPW

not attested not anchored not stored refs pending

Quantum fluctuations, conformal deformations, and Gromov's topology --- Wheeler, DeWitt, and Wilson meeting Gromov

Chien-Hao Liu

arxiv:1509.03895 v2 · 2015-09-13 · gr-qc · hep-th · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMEFTGIVZN4D2E54GD3M5RGLPW}

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	2026-05-18T01:30:50.624550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb08599915cb783d13bc30f6cec4cb7d8bb75b6065d4faf8a7ba4591669acc62

Aliases

arxiv: 1509.03895 · arxiv_version: 1509.03895v2 · doi: 10.48550/arxiv.1509.03895 · pith_short_12: ZMEFTGIVZN4D · pith_short_16: ZMEFTGIVZN4D2E54 · pith_short_8: ZMEFTGIV

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/ZMEFTGIVZN4D2E54GD3M5RGLPW \
  | 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: cb08599915cb783d13bc30f6cec4cb7d8bb75b6065d4faf8a7ba4591669acc62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b693e915baccf97828ba00075bfe7bb12c2cafb5ab48db6b528aa5182166b9a",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-13T20:33:01Z",
    "title_canon_sha256": "d0041066ca5441915639022063cfa99d8c1359995031d91730df6c63fd6610e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03895",
    "kind": "arxiv",
    "version": 2
  }
}