Pith Number

pith:PCXEAHK6

pith:1996:PCXEAHK6MAKKTQQ6WNLK5HYACU

not attested not anchored not stored refs pending

Microlensing Optical Depth of the COBE Bulge

2), (2) Phys.Inst., (3) Dpt. Theoret. Phys., CH, D, J. Binney (3), N. Bissantz (1, O. Gerhard (1) ((1) Astron.Inst., Oxford, P. Englmaier (1), UK), Univ.Basel, Univ.Freiburg

arxiv:astro-ph/9612026 v1 · 1996-12-03 · astro-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{PCXEAHK6MAKKTQQ6WNLK5HYACU}

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	2026-05-18T01:40:18.711810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78ae401d5e6014a9c21eb356ae9f00152789f9661e27d822d33cdc2772e9ab15

Aliases

arxiv: astro-ph/9612026 · arxiv_version: astro-ph/9612026v1 · doi: 10.48550/arxiv.astro-ph/9612026 · pith_short_12: PCXEAHK6MAKK · pith_short_16: PCXEAHK6MAKKTQQ6 · pith_short_8: PCXEAHK6

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/PCXEAHK6MAKKTQQ6WNLK5HYACU \
  | 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: 78ae401d5e6014a9c21eb356ae9f00152789f9661e27d822d33cdc2772e9ab15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8fa82c07c5204be52ab3e8b27fa4dd940ac0b409b0ff74296d3fe1323d8a0a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-12-03T08:42:31Z",
    "title_canon_sha256": "6e745ba1b7f967d207ea0c5ccb1fae0b5697f9cf227bd91ab7148b5dd666ff9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9612026",
    "kind": "arxiv",
    "version": 1
  }
}