Pith Number

pith:WW6AURNC

pith:2025:WW6AURNCT6EHLSDODPPXQEMQ6E

not attested not anchored not stored refs pending

Higher traces as boundary averages on finite-dimensional normed spaces

Tomasz Kania

arxiv:2510.16501 v2 · 2025-10-18 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW6AURNCT6EHLSDODPPXQEMQ6E}

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	2026-07-28T01:23:26.270272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bc0a45a29f8875c86e1bdf781190f13960edcfe767ca573b96731dd11af994

Aliases

arxiv: 2510.16501 · arxiv_version: 2510.16501v2 · doi: 10.48550/arxiv.2510.16501 · pith_short_12: WW6AURNCT6EH · pith_short_16: WW6AURNCT6EHLSDO · pith_short_8: WW6AURNC

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/WW6AURNCT6EHLSDODPPXQEMQ6E \
  | 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: b5bc0a45a29f8875c86e1bdf781190f13960edcfe767ca573b96731dd11af994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9d26f823ad1d20579fd3d9dcc1c2dbe7819686a5b9bcd9321edcfb04fd37fd",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-10-18T13:40:02Z",
    "title_canon_sha256": "45863c68ad1b9d4f7a2ef25f3fdcd8d7f933ea5d5444559f282d756d0e34f9bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16501",
    "kind": "arxiv",
    "version": 2
  }
}