Pith Number

pith:LHH4MPZT

pith:2014:LHH4MPZTHUMRVMQWWSNAXGGJGT

not attested not anchored not stored refs pending

Student Reasoning About the Divergence of a Vector Field

Cecilia Astolfi, Charles Baily

arxiv:1407.3888 v2 · 2014-07-15 · 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{LHH4MPZTHUMRVMQWWSNAXGGJGT}

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	2026-05-18T02:41:25.849491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cfc63f333d191ab216b49a0b98c934ec5b17bd474b5b3bc546aee6b6d4082c

Aliases

arxiv: 1407.3888 · arxiv_version: 1407.3888v2 · doi: 10.48550/arxiv.1407.3888 · pith_short_12: LHH4MPZTHUMR · pith_short_16: LHH4MPZTHUMRVMQW · pith_short_8: LHH4MPZT

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/LHH4MPZTHUMRVMQWWSNAXGGJGT \
  | 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: 59cfc63f333d191ab216b49a0b98c934ec5b17bd474b5b3bc546aee6b6d4082c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8c9e81e9306090ee019fa6c317f4c81ffd0a91bc755962089a7582a826ce42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2014-07-15T06:15:21Z",
    "title_canon_sha256": "d0cdf0a163fcd8ffad6967f398c50140c1b730e19a6642e1fa8bd2a298f9165a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3888",
    "kind": "arxiv",
    "version": 2
  }
}