Pith Number

pith:XXE7OROF

pith:2010:XXE7OROFKZXHCQAPNF3YSB7CHK

not attested not anchored not stored refs pending

An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions

Mi Xie, Wu-Sheng Dai

arxiv:1007.3214 v1 · 2010-07-19 · 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{XXE7OROFKZXHCQAPNF3YSB7CHK}

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	2026-05-18T02:33:09.022242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc9f745c5566e71400f69778907e23a94f52db9dd10c9f724833241d4945619

Aliases

arxiv: 1007.3214 · arxiv_version: 1007.3214v1 · doi: 10.48550/arxiv.1007.3214 · pith_short_12: XXE7OROFKZXH · pith_short_16: XXE7OROFKZXHCQAP · pith_short_8: XXE7OROF

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/XXE7OROFKZXHCQAPNF3YSB7CHK \
  | 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: bdc9f745c5566e71400f69778907e23a94f52db9dd10c9f724833241d4945619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067a728dbab2fb48d6196eb7643cddaca6e82a3eeadfcd71f30d00e7efc0cd48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-19T17:18:16Z",
    "title_canon_sha256": "b4d8dd6bd3639315f723de5c36b6335109880cd215e718552ae4a4876d395863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3214",
    "kind": "arxiv",
    "version": 1
  }
}