Pith Number

pith:CU55B7YM

pith:2021:CU55B7YM6BN2O6PDLZ4XBWG3A7

not attested not anchored not stored refs pending

Holographic study of entanglement and complexity for mixed states

Ashis Saha, Sunandan Gangopadhyay

arxiv:2101.00887 v2 · 2021-01-04 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU55B7YM6BN2O6PDLZ4XBWG3A7}

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	2026-07-05T02:31:48.382191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153bd0ff0cf05ba779e35e7970d8db07f8b065706714b3787161c9a560740dc0

Aliases

arxiv: 2101.00887 · arxiv_version: 2101.00887v2 · doi: 10.48550/arxiv.2101.00887 · pith_short_12: CU55B7YM6BN2 · pith_short_16: CU55B7YM6BN2O6PD · pith_short_8: CU55B7YM

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/CU55B7YM6BN2O6PDLZ4XBWG3A7 \
  | 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: 153bd0ff0cf05ba779e35e7970d8db07f8b065706714b3787161c9a560740dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a093664794c56eb014f0317de357b1b4513ec38f7a27900bf20deb89908af1d0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-01-04T11:06:05Z",
    "title_canon_sha256": "8a46019ddbb3846cf0862ca2fa2923f592194b86e7dd44e5187d165a3b20577c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00887",
    "kind": "arxiv",
    "version": 2
  }
}