Pith Number

pith:VBBIHPVU

pith:2008:VBBIHPVUJMUCXNUTWZR6OSHKMX

not attested not anchored not stored refs pending

Quantum periods: A census of \phi^4-transcendentals

Oliver Schnetz

arxiv:0801.2856 v2 · 2008-01-18 · 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{VBBIHPVUJMUCXNUTWZR6OSHKMX}

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

3 papers in Pith

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Tropicalized quantum field theory and global tropical sampling

Graphical Functions by Examples

Receipt and verification

First computed	2026-05-18T02:35:23.654001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84283beb44b282bb693b663e748ea65cb235f2734ddb55a7d4ef8ea143cac90

Aliases

arxiv: 0801.2856 · arxiv_version: 0801.2856v2 · doi: 10.48550/arxiv.0801.2856 · pith_short_12: VBBIHPVUJMUC · pith_short_16: VBBIHPVUJMUCXNUT · pith_short_8: VBBIHPVU

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/VBBIHPVUJMUCXNUTWZR6OSHKMX \
  | 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: a84283beb44b282bb693b663e748ea65cb235f2734ddb55a7d4ef8ea143cac90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e2e984d4e35a4bf8015d7321f66171d32892c908615a24232636d49d6f8984",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-01-18T11:40:08Z",
    "title_canon_sha256": "82bf75a320ec64a3d3315bb3f396be27101b7d49071b1a3e1613f2c0f78eae56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2856",
    "kind": "arxiv",
    "version": 2
  }
}