Pith Number

pith:VPDQABGT

pith:2015:VPDQABGTZDSZ5YU5Q56UBQ24KZ

not attested not anchored not stored refs pending

Upper-division student difficulties with Separation of Variables

Bethany R. Wilcox, Steven J. Pollock

arxiv:1507.03938 v1 · 2015-07-14 · 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{VPDQABGTZDSZ5YU5Q56UBQ24KZ}

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	2026-05-18T01:27:39.273554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc70004d3c8e59ee29d877d40c35c56574c7a0ebcd722d88f90393d96448a12

Aliases

arxiv: 1507.03938 · arxiv_version: 1507.03938v1 · doi: 10.48550/arxiv.1507.03938 · pith_short_12: VPDQABGTZDSZ · pith_short_16: VPDQABGTZDSZ5YU5 · pith_short_8: VPDQABGT

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/VPDQABGTZDSZ5YU5Q56UBQ24KZ \
  | 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: abc70004d3c8e59ee29d877d40c35c56574c7a0ebcd722d88f90393d96448a12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df93dab44b319061db0b2482853b58bd65d0c6d7a29d6a5984df7144464bf07c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2015-07-14T17:26:02Z",
    "title_canon_sha256": "296d1676ea470c7c5020eca132560cd287cd0b4de5ae1abf7e0285a19112a3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03938",
    "kind": "arxiv",
    "version": 1
  }
}