Pith Number

pith:PGHMQDU3

pith:2017:PGHMQDU3KBLXLISCIFRMGJTDM7

not attested not anchored not stored refs pending

Multi-critical behaviour of 4-dimensional tensor models up to order 6

Johannes Th\"urigen, Luca Lionni

arxiv:1707.08931 v2 · 2017-07-27 · hep-th · gr-qc · math.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{PGHMQDU3KBLXLISCIFRMGJTDM7}

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	2026-05-17T23:51:20.083901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798ec80e9b505775a2424162c3266367edc899742857531843ed75fca549649e

Aliases

arxiv: 1707.08931 · arxiv_version: 1707.08931v2 · doi: 10.48550/arxiv.1707.08931 · pith_short_12: PGHMQDU3KBLX · pith_short_16: PGHMQDU3KBLXLISC · pith_short_8: PGHMQDU3

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/PGHMQDU3KBLXLISCIFRMGJTDM7 \
  | 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: 798ec80e9b505775a2424162c3266367edc899742857531843ed75fca549649e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e4f0151e65b8a2cb676c46af23f047d6efc9fca92270afa053603a23b1ef32",
    "cross_cats_sorted": [
      "gr-qc",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-07-27T16:52:24Z",
    "title_canon_sha256": "9720f8e0d158256f6d1660d40e4a4ef9a04c0c082c8baaa8ff8c9c1e7f9d9426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08931",
    "kind": "arxiv",
    "version": 2
  }
}