Pith Number

pith:EUAPT4TT

pith:2012:EUAPT4TTWPT2OZNYUZVM3A5DAQ

not attested not anchored not stored refs pending

Negligible Variation and the Change of Variables Theorem

Vermont Rutherfoord, Yoram Sagher

arxiv:1212.4574 v1 · 2012-12-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUAPT4TTWPT2OZNYUZVM3A5DAQ}

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	2026-05-18T03:38:11.966612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2500f9f273b3e7a765b8a66acd83a3042ec1a2b8194cbf70ce466576d4f7e0e5

Aliases

arxiv: 1212.4574 · arxiv_version: 1212.4574v1 · doi: 10.48550/arxiv.1212.4574 · pith_short_12: EUAPT4TTWPT2 · pith_short_16: EUAPT4TTWPT2OZNY · pith_short_8: EUAPT4TT

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/EUAPT4TTWPT2OZNYUZVM3A5DAQ \
  | 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: 2500f9f273b3e7a765b8a66acd83a3042ec1a2b8194cbf70ce466576d4f7e0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23c86a78541f075edbea6a759a3a55e1f99f24797ab343d6bd7f7814921b621",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-19T04:31:05Z",
    "title_canon_sha256": "2072c96ec550cd75332d8a93c5d6ad4ae669ee86cd0cfce83bb6069f4467cc01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4574",
    "kind": "arxiv",
    "version": 1
  }
}