Pith Number

pith:THTYXWAE

pith:2016:THTYXWAE2SPZXP4IATE33XMGFB

not attested not anchored not stored refs pending

Duality and helicity: a symplectic viewpoint

C. Duval, M. Elbistan, P. A. Horvathy, P.-M. Zhang

arxiv:1608.01131 v1 · 2016-08-03 · math-ph · hep-th · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THTYXWAE2SPZXP4IATE33XMGFB}

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	2026-05-18T01:07:15.474936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e78bd804d49f9bbf8804c9bddd8628644519c1aa6f321439a6eafa9ef8898c

Aliases

arxiv: 1608.01131 · arxiv_version: 1608.01131v1 · doi: 10.48550/arxiv.1608.01131 · pith_short_12: THTYXWAE2SPZ · pith_short_16: THTYXWAE2SPZXP4I · pith_short_8: THTYXWAE

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/THTYXWAE2SPZXP4IATE33XMGFB \
  | 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: 99e78bd804d49f9bbf8804c9bddd8628644519c1aa6f321439a6eafa9ef8898c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cd631708b969201415ca0747822ba6e7ca35274ec8e7094b153bce4258971eb",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-03T09:57:58Z",
    "title_canon_sha256": "72eb8fd2de3e171b9ae41d79b01a6af75938eabd7189fb6f542ae2f375b6860f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01131",
    "kind": "arxiv",
    "version": 1
  }
}