Pith Number

pith:VAJTVYCZ

pith:2026:VAJTVYCZAS6MGPLZH3HN244HVH

not attested not anchored not stored refs pending

Dyeing form factors as amplitudes

Gang Yang, Guorui Zhu, Xinyue Li

arxiv:2606.27022 v1 · 2026-06-25 · 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{VAJTVYCZAS6MGPLZH3HN244HVH}

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	2026-06-26T01:16:07.230914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8133ae05904bcc33d793ecedd7387a9e0f4e379c919d85560cff968c6864b9e

Aliases

arxiv: 2606.27022 · arxiv_version: 2606.27022v1 · doi: 10.48550/arxiv.2606.27022 · pith_short_12: VAJTVYCZAS6M · pith_short_16: VAJTVYCZAS6MGPLZ · pith_short_8: VAJTVYCZ

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/VAJTVYCZAS6MGPLZH3HN244HVH \
  | 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: a8133ae05904bcc33d793ecedd7387a9e0f4e379c919d85560cff968c6864b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dc9fd9493d363145ad3c863ad1f2dada4382006281b148f772282556ae95e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-25T13:33:03Z",
    "title_canon_sha256": "1e6aac56471a1bcbeb3050534519c94bf612e509880c2eb7a7afa8b5f083ddfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27022",
    "kind": "arxiv",
    "version": 1
  }
}