Pith Number

pith:HPXNP6WM

pith:1996:HPXNP6WMW3GQOHOXE2DFBQ2I3W

not attested not anchored not stored refs pending

A Theory of Dimension

John E. Roberts, Roberto Longo

arxiv:funct-an/9604008 v1 · 1996-04-17 · funct-an · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPXNP6WMW3GQOHOXE2DFBQ2I3W}

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.

Cited by

1 paper in Pith

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories

Receipt and verification

First computed	2026-07-04T15:08:48.517291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3beed7faccb6cd071dd7268650c348dd8bdb7bd08c89b8564d20fe95b094e642

Aliases

arxiv: funct-an/9604008 · arxiv_version: funct-an/9604008v1 · doi: 10.48550/arxiv.funct-an/9604008 · pith_short_12: HPXNP6WMW3GQ · pith_short_16: HPXNP6WMW3GQOHOX · pith_short_8: HPXNP6WM

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/HPXNP6WMW3GQOHOXE2DFBQ2I3W \
  | 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: 3beed7faccb6cd071dd7268650c348dd8bdb7bd08c89b8564d20fe95b094e642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560746735540af231d691b3a2ab9822aace2e0edee42ea1392d36abf84b9424e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1996-04-17T17:57:27Z",
    "title_canon_sha256": "aef747ee701ff9cbd0bbefc0b6f1498212322ef27f0ae8056bef9a5c42a67708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9604008",
    "kind": "arxiv",
    "version": 1
  }
}