Pith Number

pith:7HJ3GF3R

pith:2019:7HJ3GF3RJ23YSGYUAR3L5HSRVI

not attested not anchored not stored refs pending

Ward identity for loop level soft photon theorem for massless QED coupled to gravity

Sayali Atul Bhatkar

arxiv:1912.10229 v3 · 2019-12-21 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HJ3GF3RJ23YSGYUAR3L5HSRVI}

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	2026-07-05T01:43:23.986074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d3b317714eb7891b140476be9e51aa2a1a0973f7864db456f50be3d77122b0

Aliases

arxiv: 1912.10229 · arxiv_version: 1912.10229v3 · doi: 10.48550/arxiv.1912.10229 · pith_short_12: 7HJ3GF3RJ23Y · pith_short_16: 7HJ3GF3RJ23YSGYU · pith_short_8: 7HJ3GF3R

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/7HJ3GF3RJ23YSGYUAR3L5HSRVI \
  | 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: f9d3b317714eb7891b140476be9e51aa2a1a0973f7864db456f50be3d77122b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2211769f728b0eff84213c3a6d635213488e05750b1a9372750be42ce820111",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-21T09:25:47Z",
    "title_canon_sha256": "e02f360871f2b7e91023a9e4438efe873f2681c9635a448b88ba5ea2e56da2ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10229",
    "kind": "arxiv",
    "version": 3
  }
}