Pith Number

pith:FTFSF3SS

pith:2015:FTFSF3SS6WOWXB4RAXCVT3O5MT

not attested not anchored not stored refs pending

Analytic properties of the electromagnetic Green's function

Boris Gralak

arxiv:1512.04795 v2 · 2015-12-15 · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTFSF3SS6WOWXB4RAXCVT3O5MT}

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	2026-05-18T01:23:53.741964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ccb22ee52f59d6b879105c559eddd64d7c2d2398a66abba323f40b0f9a25c0b

Aliases

arxiv: 1512.04795 · arxiv_version: 1512.04795v2 · doi: 10.48550/arxiv.1512.04795 · pith_short_12: FTFSF3SS6WOW · pith_short_16: FTFSF3SS6WOWXB4R · pith_short_8: FTFSF3SS

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/FTFSF3SS6WOWXB4RAXCVT3O5MT \
  | 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: 2ccb22ee52f59d6b879105c559eddd64d7c2d2398a66abba323f40b0f9a25c0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3949d107c99b5e9b47a02ac0a5f188bfeda1a8fe5811a31699706c56504aa91e",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-15T14:28:44Z",
    "title_canon_sha256": "ea8bb1a54e65558009264b8d87b438890b3217c70e2c6b8febe9900bd6150373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04795",
    "kind": "arxiv",
    "version": 2
  }
}