Pith Number

pith:6OR4RAGH

pith:1999:6OR4RAGHAFCUDV2VHTHKOAO3U6

not attested not anchored not stored refs pending

Symmetric Products and Q-manifolds

Alejandro Illanes, jr, Sam B. Nadler, Sergio Macias

arxiv:math/9906162 v1 · 1999-06-24 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OR4RAGHAFCUDV2VHTHKOAO3U6}

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	2026-05-18T03:47:10.485677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a3c880c7014541d7553ccea701dba79d8b628e4704ce8fab39e38a55a87e4f

Aliases

arxiv: math/9906162 · arxiv_version: math/9906162v1 · doi: 10.48550/arxiv.math/9906162 · pith_short_12: 6OR4RAGHAFCU · pith_short_16: 6OR4RAGHAFCUDV2V · pith_short_8: 6OR4RAGH

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/6OR4RAGHAFCUDV2VHTHKOAO3U6 \
  | 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: f3a3c880c7014541d7553ccea701dba79d8b628e4704ce8fab39e38a55a87e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5fad250fa319d1af6b1b773ddf1344a71e340b80e9d68a68a2831092a74ec5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "1999-06-24T18:21:28Z",
    "title_canon_sha256": "9fb80ba5298022d12725161fd6f8c88131462c91072912ac145f67e1c56893f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9906162",
    "kind": "arxiv",
    "version": 1
  }
}