Pith Number

pith:AZ2WD36B

pith:2012:AZ2WD36BJFHVXYCP3UZWKR4NEW

not attested not anchored not stored refs pending

ACER: A Framework on the Use of Mathematics in Upper-division Physics

Bethany R. Wilcox, Marcos D. Caballero, Rachel E. Pepper, Steven J. Pollock

arxiv:1207.0987 v2 · 2012-07-04 · physics.ed-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZ2WD36BJFHVXYCP3UZWKR4NEW}

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	2026-05-18T01:56:34.885054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067561efc1494f5be04fdd3365478d25b136aa637219fd9327904c4cc280a822

Aliases

arxiv: 1207.0987 · arxiv_version: 1207.0987v2 · doi: 10.48550/arxiv.1207.0987 · pith_short_12: AZ2WD36BJFHV · pith_short_16: AZ2WD36BJFHVXYCP · pith_short_8: AZ2WD36B

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/AZ2WD36BJFHVXYCP3UZWKR4NEW \
  | 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: 067561efc1494f5be04fdd3365478d25b136aa637219fd9327904c4cc280a822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61c6152ab09a734b6a817bbb3cfb56050469343a2ebe896b72b920d182d1ddf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2012-07-04T14:04:15Z",
    "title_canon_sha256": "20df9b9bfc2b62cb050b442c63ac2e4f42a51783e94b61c867a4b531cd9a76fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0987",
    "kind": "arxiv",
    "version": 2
  }
}