Pith Number

pith:7TFUVL3Z

pith:2007:7TFUVL3ZDVHXDHHZMDX6VXZEVP

not attested not anchored not stored refs pending

Chiral oscillations in terms of the zitterbewegung effect

Alex E. Bernardini

arxiv:hep-th/0701091 v2 · 2007-01-10 · 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{7TFUVL3ZDVHXDHHZMDX6VXZEVP}

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	2026-05-18T02:39:30.786769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fccb4aaf791d4f719cf960efeadf24abf4526c6a87461212407e1229ebb71124

Aliases

arxiv: hep-th/0701091 · arxiv_version: hep-th/0701091v2 · doi: 10.48550/arxiv.hep-th/0701091 · pith_short_12: 7TFUVL3ZDVHX · pith_short_16: 7TFUVL3ZDVHXDHHZ · pith_short_8: 7TFUVL3Z

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/7TFUVL3ZDVHXDHHZMDX6VXZEVP \
  | 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: fccb4aaf791d4f719cf960efeadf24abf4526c6a87461212407e1229ebb71124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61deab39e9edb75c08b19b16fba563c4fce39498ca27823ce9771b5f03ca3b4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2007-01-10T16:33:04Z",
    "title_canon_sha256": "0821f1417325419e1cad106d841eb2866b3ae69b8f65f9f9079a0aa3644c7d08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0701091",
    "kind": "arxiv",
    "version": 2
  }
}