Pith Number

pith:TCCDOU2C

pith:2007:TCCDOU2C56UMGLO4HCWEF4GCMT

not attested not anchored not stored refs pending

The instability of intersecting fuzzy spheres

Jun Nishimura (KEK, SOKENDAI), Subrata Bal (DIAS), Takehiro Azuma (Tata Inst.)

arxiv:0712.0646 v3 · 2007-12-05 · 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{TCCDOU2C56UMGLO4HCWEF4GCMT}

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	2026-05-18T04:18:13.525568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9884375342efa8c32ddc38ac42f0c264dde8048eb64cad31e9d03a54ecd6f18a

Aliases

arxiv: 0712.0646 · arxiv_version: 0712.0646v3 · doi: 10.48550/arxiv.0712.0646 · pith_short_12: TCCDOU2C56UM · pith_short_16: TCCDOU2C56UMGLO4 · pith_short_8: TCCDOU2C

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/TCCDOU2C56UMGLO4HCWEF4GCMT \
  | 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: 9884375342efa8c32ddc38ac42f0c264dde8048eb64cad31e9d03a54ecd6f18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c093f0cc5a2bd16a16d9b4b42d8f208c17bc1ca6e118b624679b0a6efb2f0d16",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-05T03:24:50Z",
    "title_canon_sha256": "51b42a89b70cb85a8016cea663d3ea233388136da30d9a9a1040c3dfb39becc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0646",
    "kind": "arxiv",
    "version": 3
  }
}