Pith Number

pith:EBPY7N3I

pith:2019:EBPY7N3I7VMWOUOLFPB5WFSLDH

not attested not anchored not stored refs pending

The number of independent invariants for m unit vectors and n symmetric second order tensors is 2m+ 6n-3

M.H.B.M. Shariff

arxiv:1907.09941 v1 · 2019-07-20 · physics.class-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{EBPY7N3I7VMWOUOLFPB5WFSLDH}

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	2026-05-17T23:39:49.607411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

205f8fb768fd596751cb2bc3db164b19def442294fd189e67b5aff5bbaf156d7

Aliases

arxiv: 1907.09941 · arxiv_version: 1907.09941v1 · doi: 10.48550/arxiv.1907.09941 · pith_short_12: EBPY7N3I7VMW · pith_short_16: EBPY7N3I7VMWOUOL · pith_short_8: EBPY7N3I

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/EBPY7N3I7VMWOUOLFPB5WFSLDH \
  | 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: 205f8fb768fd596751cb2bc3db164b19def442294fd189e67b5aff5bbaf156d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9d427e50085f9051e56c2db902884b6f79dce79f8877aded0808333bf66917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2019-07-20T20:52:58Z",
    "title_canon_sha256": "faddd5f37836f98f49e5882c9b6e96929853bff5570e4582950d4eb3fa839b99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09941",
    "kind": "arxiv",
    "version": 1
  }
}