Pith Number

pith:RRJ3EVU5

pith:2018:RRJ3EVU5W5V3Q6WXRCATUUZOWO

not attested not anchored not stored refs pending

Asymptotic analysis of spin foam amplitude with timelike triangles

Hongguang Liu, Muxin Han

arxiv:1810.09042 v3 · 2018-10-21 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRJ3EVU5W5V3Q6WXRCATUUZOWO}

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	2026-05-17T23:47:20.191825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c53b2569db76bb87ad788813a532eb39ac925f675e71f403c3d88a20e76cc2f

Aliases

arxiv: 1810.09042 · arxiv_version: 1810.09042v3 · doi: 10.48550/arxiv.1810.09042 · pith_short_12: RRJ3EVU5W5V3 · pith_short_16: RRJ3EVU5W5V3Q6WX · pith_short_8: RRJ3EVU5

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/RRJ3EVU5W5V3Q6WXRCATUUZOWO \
  | 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: 8c53b2569db76bb87ad788813a532eb39ac925f675e71f403c3d88a20e76cc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcde4c9fbee8d8d03de4896b08015da49af9cf7bdcb9dd41560686d588c58f66",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-10-21T23:26:27Z",
    "title_canon_sha256": "de3fbf8f8fbf8a9864b167cee37f7cd98e43bff17a65862e0c0ba56fcec1609f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09042",
    "kind": "arxiv",
    "version": 3
  }
}