Pith Number

pith:4F2XQ5EX

pith:2016:4F2XQ5EXPFBNZUJDVUP7C5TQAW

not attested not anchored not stored refs pending

A note on sphere free energy of $p$-form gauge theory and Hodge duality

Himanshu Raj

arxiv:1611.02507 v2 · 2016-11-08 · 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{4F2XQ5EXPFBNZUJDVUP7C5TQAW}

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	2026-05-18T00:29:46.706282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1757874977942dcd123ad1ff1767005b8fdb4f502918677c1454b39e5ad223b

Aliases

arxiv: 1611.02507 · arxiv_version: 1611.02507v2 · doi: 10.48550/arxiv.1611.02507 · pith_short_12: 4F2XQ5EXPFBN · pith_short_16: 4F2XQ5EXPFBNZUJD · pith_short_8: 4F2XQ5EX

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/4F2XQ5EXPFBNZUJDVUP7C5TQAW \
  | 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: e1757874977942dcd123ad1ff1767005b8fdb4f502918677c1454b39e5ad223b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8688ae9ae266d4153376b0b1b71c5828e0c1501c4d9cab6c504fe4c37b0754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-11-08T13:07:42Z",
    "title_canon_sha256": "88483516f86448d9bcad34eca8df094f9bf95ab1c6055907918917fbe3032062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02507",
    "kind": "arxiv",
    "version": 2
  }
}