Pith Number

pith:T6DISGLI

pith:2011:T6DISGLINXMLCGOJAVO4T6EGTR

not attested not anchored not stored refs pending

How students blend conceptual and formal mathematical reasoning in solving physics problems

Andrew Elby, Ayush Gupta, Eric Kuo, Michael M. Hull

arxiv:1102.3453 v2 · 2011-02-16 · 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{T6DISGLINXMLCGOJAVO4T6EGTR}

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	2026-05-18T03:05:26.494694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f868919686dd8b119c9055dc9f8869c612937df450ea2c307a16f3d1573b21b

Aliases

arxiv: 1102.3453 · arxiv_version: 1102.3453v2 · doi: 10.48550/arxiv.1102.3453 · pith_short_12: T6DISGLINXML · pith_short_16: T6DISGLINXMLCGOJ · pith_short_8: T6DISGLI

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/T6DISGLINXMLCGOJAVO4T6EGTR \
  | 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: 9f868919686dd8b119c9055dc9f8869c612937df450ea2c307a16f3d1573b21b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522946f50ea9219886307870f3b7c10b294c59e9c2a30cf9950b0e40d4e30418",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2011-02-16T23:17:23Z",
    "title_canon_sha256": "9f644b6165b308abbb85c007988e48f25e20076fba00c0b4e17df21c536b0d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3453",
    "kind": "arxiv",
    "version": 2
  }
}