Pith Number

pith:PYBRNQ4A

pith:2020:PYBRNQ4AYZVZMZCKXHPLG3ETXA

not attested not anchored not stored refs pending

Divergent to Complex Amplitudes in Two Dimensional String Theory

Ashoke Sen

arxiv:2003.12076 v1 · 2020-03-26 · 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{PYBRNQ4AYZVZMZCKXHPLG3ETXA}

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	2026-07-05T02:23:05.792639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0316c380c66b96644ab9deb36c93b808a5e6b1f86efead6ecb7966691147c6

Aliases

arxiv: 2003.12076 · arxiv_version: 2003.12076v1 · doi: 10.48550/arxiv.2003.12076 · pith_short_12: PYBRNQ4AYZVZ · pith_short_16: PYBRNQ4AYZVZMZCK · pith_short_8: PYBRNQ4A

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/PYBRNQ4AYZVZMZCKXHPLG3ETXA \
  | 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: 7e0316c380c66b96644ab9deb36c93b808a5e6b1f86efead6ecb7966691147c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6cf3339db642ef592a9f9fdc35ec99639c31add061dbfade62e64b1cedaa91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-26T18:00:09Z",
    "title_canon_sha256": "41b58eefb19b2dd92a04ac7f75b27f6a2fa689429932ab5d52553e442c7aaa51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12076",
    "kind": "arxiv",
    "version": 1
  }
}