Pith Number

pith:XUPTNJP6

pith:2021:XUPTNJP66VBJV56AX4SQYOQBS6

not attested not anchored not stored refs pending

Positivity of Peterson Schubert Calculus

Leonardo Mihalcea, Rahul Singh, Rebecca Goldin

arxiv:2106.10372 v2 · 2021-06-18 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUPTNJP66VBJV56AX4SQYOQBS6}

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	2026-07-05T08:51:08.969390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1f36a5fef5429af7c0bf250c3a0197b7cca66f782e61fca959f8c8215e49ed

Aliases

arxiv: 2106.10372 · arxiv_version: 2106.10372v2 · doi: 10.48550/arxiv.2106.10372 · pith_short_12: XUPTNJP66VBJ · pith_short_16: XUPTNJP66VBJV56A · pith_short_8: XUPTNJP6

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/XUPTNJP66VBJV56AX4SQYOQBS6 \
  | 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: bd1f36a5fef5429af7c0bf250c3a0197b7cca66f782e61fca959f8c8215e49ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14a13851b16f77c1b50c487dff391925303b3eccec31c965eec5846882316052",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-06-18T22:12:55Z",
    "title_canon_sha256": "5d677cc8c4b16abf95d70ee8358b054c04cc4fab8dc72d6b20e09e48022b67f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10372",
    "kind": "arxiv",
    "version": 2
  }
}