Pith Number

pith:M5PX3KSF

pith:2000:M5PX3KSF7HE2KUX2K2SH3UBG6H

not attested not anchored not stored refs pending

Hodge Duality on the Brane

James T. Liu, M.J. Duff

arxiv:hep-th/0010171 v3 · 2000-10-20 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5PX3KSF7HE2KUX2K2SH3UBG6H}

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	2026-07-04T16:21:04.611741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675f7daa45f9c9a552fa56a47dd026f1f29b7cb5def3b9a66d07be8f6b11638d

Aliases

arxiv: hep-th/0010171 · arxiv_version: hep-th/0010171v3 · doi: 10.48550/arxiv.hep-th/0010171 · pith_short_12: M5PX3KSF7HE2 · pith_short_16: M5PX3KSF7HE2KUX2 · pith_short_8: M5PX3KSF

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/M5PX3KSF7HE2KUX2K2SH3UBG6H \
  | 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: 675f7daa45f9c9a552fa56a47dd026f1f29b7cb5def3b9a66d07be8f6b11638d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab46d44e70555969ba59a0a68e1e25ba0e06cf2cbcf87a764ee85853f95e5440",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-10-20T22:09:59Z",
    "title_canon_sha256": "496a7b15dda668ae73614a046501dc773c4ed0428ea33dfbede4aff4864bc100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0010171",
    "kind": "arxiv",
    "version": 3
  }
}