Pith Number

pith:QCJTQPNK

pith:2016:QCJTQPNK3TG4IYYRBILQWYOWGW

not attested not anchored not stored refs pending

Extended Particles and the Exterior Calculus

R. W. Tucker

arxiv:1610.08658 v1 · 2016-10-27 · math-ph · gr-qc · math.MP · 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{QCJTQPNK3TG4IYYRBILQWYOWGW}

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	2026-05-18T01:01:07.578075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8093383daadccdc463110a170b61d635a62cedfab979d4de23c4dd13a1979bcf

Aliases

arxiv: 1610.08658 · arxiv_version: 1610.08658v1 · doi: 10.48550/arxiv.1610.08658 · pith_short_12: QCJTQPNK3TG4 · pith_short_16: QCJTQPNK3TG4IYYR · pith_short_8: QCJTQPNK

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/QCJTQPNK3TG4IYYRBILQWYOWGW \
  | 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: 8093383daadccdc463110a170b61d635a62cedfab979d4de23c4dd13a1979bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf87a0270da5725e515c0c4b473a5b8e507ef0c41f4a92d884f9420aef73ee3",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-27T08:26:09Z",
    "title_canon_sha256": "bf1162f3f54feca623bb118887a4669e7dc1796256d82a2444833f29619ec18a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08658",
    "kind": "arxiv",
    "version": 1
  }
}