Pith Number

pith:AA22ZPPF

pith:2019:AA22ZPPFPXFEE6FJ7MGKO3ZXBI

not attested not anchored not stored refs pending

Hyperbolic String Vertices

Barton Zwiebach, Kevin Costello

arxiv:1909.00033 v1 · 2019-08-30 · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AA22ZPPFPXFEE6FJ7MGKO3ZXBI}

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

2 papers in Pith

Recursive-algebraic solution of the closed string tachyon vacuum equation

Receipt and verification

First computed	2026-07-05T00:02:28.777187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0035acbde57dca4278a9fb0ca76f370a06f7a94cdac8152857b6467e57b3de94

Aliases

arxiv: 1909.00033 · arxiv_version: 1909.00033v1 · doi: 10.48550/arxiv.1909.00033 · pith_short_12: AA22ZPPFPXFE · pith_short_16: AA22ZPPFPXFEE6FJ · pith_short_8: AA22ZPPF

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/AA22ZPPFPXFEE6FJ7MGKO3ZXBI \
  | 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: 0035acbde57dca4278a9fb0ca76f370a06f7a94cdac8152857b6467e57b3de94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd64bac4cbda208f88b6bc2601410f101ecb5c6e9f8cff42e22d22bf58f9a80b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-30T18:40:23Z",
    "title_canon_sha256": "ee858f7693a72cdccf72fd9f699e795950fe25fe7b47ea946c3859ca1448c690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00033",
    "kind": "arxiv",
    "version": 1
  }
}