Pith Number

pith:UHVJOAW3

pith:2017:UHVJOAW3JMVONNLP7DLQZRGIXJ

not attested not anchored not stored refs pending

Extended Theory of Harmonic Maps Connects General Relativity to Chaos and Quantum Mechanism

Gang Ren, Yi-Shi Duan

arxiv:1703.03920 v1 · 2017-03-11 · gr-qc · hep-th · math-ph · math.MP · nlin.CD · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHVJOAW3JMVONNLP7DLQZRGIXJ}

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	2026-05-18T00:33:21.164070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ea9702db4b2ae6b56ff8d70cc4c8ba525c5f53d86f1121741dffff531f18cc

Aliases

arxiv: 1703.03920 · arxiv_version: 1703.03920v1 · doi: 10.48550/arxiv.1703.03920 · pith_short_12: UHVJOAW3JMVO · pith_short_16: UHVJOAW3JMVONNLP · pith_short_8: UHVJOAW3

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/UHVJOAW3JMVONNLP7DLQZRGIXJ \
  | 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: a1ea9702db4b2ae6b56ff8d70cc4c8ba525c5f53d86f1121741dffff531f18cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea5baf64a07bda4e1c316d41929ec9a27c91529a90a2818c063699f13b265eb",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-03-11T07:28:32Z",
    "title_canon_sha256": "a521ad191f122cb3b510b5519bc2b4be0148e5fb0bd93f4948e5839a1535dc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03920",
    "kind": "arxiv",
    "version": 1
  }
}