Pith Number

pith:XCEKQ46P

pith:2009:XCEKQ46PA3ZBFDKZTDN47DTBYK

not attested not anchored not stored refs pending

The geometric $\beta$-function in curved space-time under operator regularization

Susama Agarwala

arxiv:0909.4122 v3 · 2009-09-23 · math-ph · 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{XCEKQ46PA3ZBFDKZTDN47DTBYK}

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	2026-05-18T01:30:00.065099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b888a873cf06f2128d5998dbcf8e61c28756d87e91a503b2ac0147fc4f389f55

Aliases

arxiv: 0909.4122 · arxiv_version: 0909.4122v3 · doi: 10.48550/arxiv.0909.4122 · pith_short_12: XCEKQ46PA3ZB · pith_short_16: XCEKQ46PA3ZBFDKZ · pith_short_8: XCEKQ46P

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/XCEKQ46PA3ZBFDKZTDN47DTBYK \
  | 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: b888a873cf06f2128d5998dbcf8e61c28756d87e91a503b2ac0147fc4f389f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1749796262539b2a98d0b25f866a566df5554bd0f18e08bcec3c5ce6f9d94194",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-23T02:41:11Z",
    "title_canon_sha256": "f6fca7cbf7271f62310c2685cfd21ef161e065312b11b911267cc32c3250fe16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4122",
    "kind": "arxiv",
    "version": 3
  }
}