Pith Number

pith:2L4IDCO4

pith:2021:2L4IDCO4JYF3FJKTKU67M7HJFK

not attested not anchored not stored refs pending

Zwanziger's pairwise little group on the celestial sphere

Luke Lippstreu

arxiv:2106.00084 v2 · 2021-05-31 · 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{2L4IDCO4JYF3FJKTKU67M7HJFK}

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

1 paper in Pith

Comments on Symmetry Operators, Asymptotic Charges and Soft Theorems

Receipt and verification

First computed	2026-07-05T03:34:26.337563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f88189dc4e0bb2a553553df67ce92a937816378e8e171a7dd213d894ec4d7f

Aliases

arxiv: 2106.00084 · arxiv_version: 2106.00084v2 · doi: 10.48550/arxiv.2106.00084 · pith_short_12: 2L4IDCO4JYF3 · pith_short_16: 2L4IDCO4JYF3FJKT · pith_short_8: 2L4IDCO4

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/2L4IDCO4JYF3FJKTKU67M7HJFK \
  | 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: d2f88189dc4e0bb2a553553df67ce92a937816378e8e171a7dd213d894ec4d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738488fbe1f67e7e62275df9d39ab8af1a786b5f8747f15d967af6b934c1bc53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-05-31T20:11:05Z",
    "title_canon_sha256": "946643b87aecf6be6f7a773e2ea7197224bd56472b9529780347a51e12210b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.00084",
    "kind": "arxiv",
    "version": 2
  }
}