Pith Number

pith:P3AZ4GJD

pith:1996:P3AZ4GJDK6M5MGOK6XLW7KZGTN

not attested not anchored not stored refs pending

What Becomes of Vortices in Theories with Flat Directions

A.A. Penin, P.G. Tinyakov, S.V. Troitsky, V.A. Rubakov

arxiv:hep-ph/9609257 v1 · 1996-09-05 · hep-ph · 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{P3AZ4GJDK6M5MGOK6XLW7KZGTN}

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	2026-07-04T15:29:36.338772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec19e19235799d619caf5d76fab269b750c15b43f4d1c623aeb3cdd68a65c4f

Aliases

arxiv: hep-ph/9609257 · arxiv_version: hep-ph/9609257v1 · doi: 10.48550/arxiv.hep-ph/9609257 · pith_short_12: P3AZ4GJDK6M5 · pith_short_16: P3AZ4GJDK6M5MGOK · pith_short_8: P3AZ4GJD

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/P3AZ4GJDK6M5MGOK6XLW7KZGTN \
  | 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: 7ec19e19235799d619caf5d76fab269b750c15b43f4d1c623aeb3cdd68a65c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e1da4c9d130308db8a554506adb5dfebf385b19a9de486a32a889ec6051eb4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1996-09-05T09:13:52Z",
    "title_canon_sha256": "4b47659f331cbd0ba1f298fc9871b672dfd225a2b953dc9b772636b98c6db4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9609257",
    "kind": "arxiv",
    "version": 1
  }
}