Pith Number

pith:PJQAW2OC

pith:2021:PJQAW2OCJFXGLBIKU6IVA63W2I

not attested not anchored not stored refs pending

Particle-like topologies in light

Cornelia Denz, Danica Sugic, Daniel Ehrmanntraut, Eileen Otte, Franco Nori, Janne Ruostekoski, Mark R. Dennis, Ramon Droop

arxiv:2107.10810 v1 · 2021-07-22 · physics.optics · cond-mat.mes-hall · 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{PJQAW2OCJFXGLBIKU6IVA63W2I}

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	2026-07-05T04:14:38.164965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a600b69c2496e65850aa791507b76d20b768faee23d5637fbc7cff96bddb5ac

Aliases

arxiv: 2107.10810 · arxiv_version: 2107.10810v1 · doi: 10.48550/arxiv.2107.10810 · pith_short_12: PJQAW2OCJFXG · pith_short_16: PJQAW2OCJFXGLBIK · pith_short_8: PJQAW2OC

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/PJQAW2OCJFXGLBIKU6IVA63W2I \
  | 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: 7a600b69c2496e65850aa791507b76d20b768faee23d5637fbc7cff96bddb5ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20531a1ec5fafce412fea06399b274ce42c8559dd351a885f59060c3cd38ab8f",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-07-22T17:07:33Z",
    "title_canon_sha256": "b1170f342d1e46dbb72c2379a1e3db5f27eadee4eec3270120db25b972927e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.10810",
    "kind": "arxiv",
    "version": 1
  }
}