Pith Number

pith:I6PIUUTH

pith:1997:I6PIUUTHFHDGISYQBX23NBO36G

not attested not anchored not stored refs pending

Equivalence of the grand canonical partition functions of particles with different statistics

P.K. Panigrahi, R. MacKenzie, S. Chaturvedi, V. Srinivasan

arxiv:quant-ph/9708049 v1 · 1997-08-27 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6PIUUTHFHDGISYQBX23NBO36G}

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	2026-05-18T01:37:53.140645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479e8a526729c6644b100df5b685dbf1b6df76d2a201b4c8a81c9f1ab819330b

Aliases

arxiv: quant-ph/9708049 · arxiv_version: quant-ph/9708049v1 · doi: 10.48550/arxiv.quant-ph/9708049 · pith_short_12: I6PIUUTHFHDG · pith_short_16: I6PIUUTHFHDGISYQ · pith_short_8: I6PIUUTH

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/I6PIUUTHFHDGISYQBX23NBO36G \
  | 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: 479e8a526729c6644b100df5b685dbf1b6df76d2a201b4c8a81c9f1ab819330b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18d7e6fe8d0f854ef0fb85ed68d54781f9c0c2fe7966ffe2d0986029bbb585e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-08-27T16:27:13Z",
    "title_canon_sha256": "d83592e527e4c812aa18c69a25d2ff63c186aa5c891f6963f2ca4a1456c44a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9708049",
    "kind": "arxiv",
    "version": 1
  }
}