Pith Number

pith:ZEJT3RF4

pith:2016:ZEJT3RF4Z2UJMHH3JQT32RKF2G

not attested not anchored not stored refs pending

The aggregation equation with Newtonian potential

Elaine Cozzi, Gung-Min Gie, James P Kelliher

arxiv:1608.01348 v1 · 2016-08-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEJT3RF4Z2UJMHH3JQT32RKF2G}

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	2026-05-18T01:09:55.717681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9133dc4bccea8961cfb4c27bd4545d196b04a52268231b3fe9d74e3857618a0

Aliases

arxiv: 1608.01348 · arxiv_version: 1608.01348v1 · doi: 10.48550/arxiv.1608.01348 · pith_short_12: ZEJT3RF4Z2UJ · pith_short_16: ZEJT3RF4Z2UJMHH3 · pith_short_8: ZEJT3RF4

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/ZEJT3RF4Z2UJMHH3JQT32RKF2G \
  | 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: c9133dc4bccea8961cfb4c27bd4545d196b04a52268231b3fe9d74e3857618a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe7f68cc644180c50246dd44fda04d578dab80bcc249ecff150db16c59bf018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-03T20:37:35Z",
    "title_canon_sha256": "9a8bf061608ad3cc9597278aab5f29bd919a01fcf3a629af9159d0dc9d766a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01348",
    "kind": "arxiv",
    "version": 1
  }
}