Pith Number

pith:ZPHK2IHA

pith:2015:ZPHK2IHAI5WNXBWBK7C5VRUVRU

not attested not anchored not stored refs pending

BPS Spectra, Barcodes and Walls

Michele Cirafici

arxiv:1511.01421 v2 · 2015-11-04 · hep-th · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPHK2IHAI5WNXBWBK7C5VRUVRU}

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	2026-05-17T23:41:13.754904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcead20e0476cdb86c157c5dac6958d34ca1b971907914d7f6052693bece0ef

Aliases

arxiv: 1511.01421 · arxiv_version: 1511.01421v2 · doi: 10.48550/arxiv.1511.01421 · pith_short_12: ZPHK2IHAI5WN · pith_short_16: ZPHK2IHAI5WNXBWB · pith_short_8: ZPHK2IHA

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/ZPHK2IHAI5WNXBWBK7C5VRUVRU \
  | 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: cbcead20e0476cdb86c157c5dac6958d34ca1b971907914d7f6052693bece0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e705a59ea6c6716e1e3cc48b855295879040536a0bbc187791e5eb144a78a34f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-04T18:19:43Z",
    "title_canon_sha256": "9359bfc25d0f77bb861d4a09ac882443e277ec585e93ba58debd76da7acc853f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01421",
    "kind": "arxiv",
    "version": 2
  }
}